# GEOMETRY Teacher: Mrs. Flynn Topic: Similarity. Teacher: Mrs. Flynn Topic: Similarity

Size: px
Start display at page:

Download "GEOMETRY Teacher: Mrs. Flynn Topic: Similarity. Teacher: Mrs. Flynn Topic: Similarity"

Transcription

1 GEOMETRY Teacher: Mrs. Flynn Topic: Similarity Name: Date: Teacher: Mrs. Flynn Topic: Similarity 1. A tree casts a shadow 24 feet long at the same time a man 6 feet tall casts a shadow 4 feet long. Find the number of feet in the height of the tree. 5. If a girl 1.2 meters tall casts a shadow 2 meters long, how many meters tall is a tree that casts a shadow 75 meters long at the same time? 2. A 10-foot flagpole casts a shadow of 15 feet on level ground. A 6-foot man is standing next to the flagpole. Find the number of feet in the length of the shadow cast by the man 6. The ratio of perimeters of two isosceles right triangles is 1 : 3. If the length of the hypotenuse of the larger triangle is 18, find the length of the hypotenuse of the smaller triangle. 3. A tree 24 feet tall casts a shadow 16 feet long at the same time a man 6 feet tall casts a shadow x feet long. What is the length of the man s shadow? A. 6 B. 5 C. 3 D The sides of a triangle have lengths 6, 8, and 11. What is the length of the longest side of a similar triangle whose perimeter is 75? 4. A tree casts a shadow 30 feet long at the same time that a boy 5 feet tall casts a shadow 3 feet long. Find the height, in feet, of the tree. 8. The ratio of the corresponding sides of two similar triangles is 7 : 5. Find the ratio of their perimeters. page 1

2 9. The sides of a triangle measure 4, 6, and 7. If the shortest side of a similar triangle is 12, what is the perimeter of the larger triangle? 13. In the accompanying diagram of triangle XYZ and triangle ABC, X = A and Y = B. If XY = 5, YZ = 12, and AB = 15, what is BC? 10. The lengths of the sides of a triangle are 5, 12, and 13. What is the length of the longest side of a similar triangle whose perimeter is 90? A. 13 B. 15 C. 36 D The corresponding altitudes of two similar triangles are 6 and 4. If the perimeter of the larger triangle is 18, what is the perimeter of the smaller triangle? 14. In the accompanying diagram, right triangle ABC is similar to right triangle RST with A = R. If AB = 6, AC = 9, and RS = 4, find RT. 12. In the accompanying diagram, ABC is similar to PQR, AC = 6, AB = BC = 12, and PR = 8. Find the perimeter of PQR. 15. The lengths of the sides of a triangle are 8, 15, and 17. If the longest side of a similar triangle is 51, what is the length of the shortest side? A. 32 B. 24 C. 16 D. 4 Teacher: Mrs. Flynn page 2 GEOMETRY

3 16. In the accompanying diagram, ABC is similar to DEF, A = D, and B = E. If AB = 3, BC = 12, DE = x + 2, and EF = 18, find the value of x. 19. In the accompanying diagram, BAE, CAD, B and E are right angles, AB = 3, BC = 4, and AD = 15. What is the length of DE? A. 5 B. 8 C. 9 D The sides of a triangle measures 6, 11, and 15. If the smallest side of a similar triangle measures 4, find the length of its longest side. 20. In the accompanying diagram, IHJ LKJ. If IH = 5, HJ = 2, and LK = 7, find KJ. 18. In the accompanying diagram, ABC is similar to DEF, A = D, and B = E. If AB = 6, DE = 8, and DF = 12, find AC. 21. The sides of a triangle measure 3, 5, and 7. If the smallest side of a similar triangle measures 9, find its longest side. Teacher: Mrs. Flynn page 3 GEOMETRY

4 22. The sides of a triangle are 3, 4, and 5. Find the length of the shortest side if a similar triangle whose longest side has length The accompanying diagram shows two similar triangles. Which proportion could be used to solve for x? A. x 24 = 9 15 B = 15 x 23. The lengths of the sides of a triangle are 7, 8, and 10. If the length of the longest side of a similar triangle is 25, what is the length of the shortest side of this triangle? C. 32 x = D = 15 x 26. In right triangle ABC, altitude CD is drawn to the hypotenuse. If CD = 10 and AD = 4, then DB equals A. 2.5 B. 14 C. 25 D In the accompanying diagram, triangle A is similar to triangle B. Find the value of n. 27. In right triangle ABC, m C = 90, D is a point on AB, and CD AB. If AB = 20 and AD = 5, the length of AC is A. 10 B. 25 C. 300 D. 4 Teacher: Mrs. Flynn page 4 GEOMETRY

5 28. In the accompanying diagram of right triangle RST, altitude TP is drawn to hypotenuse RS. If TP = 6 and RP is 5 less than PS, find the length of hypotenuse RS. [Only an algebraic solution will be accepted.] 31. In the accompanying diagram, the altitude to the hypotenuse of the right triangle divides the hypotenuse into two segments of lengths 3 and 12. What is the length of the altitude? 29. In the accompanying diagram of rectangle ABCD, DE is perpendicular to diagonal AC. If AE = 3 and EC = 9, what is the length of AD? 32. In right triangle ABC, altitude CD is drawn to hypotenuse AB. If AD = 5 and DB = 24, what is the length of CD? A. 120 B. 30 C D A. 27 B. 6 C. 5 D The accompanying diagram shows two cables of equal length supporting a pole. Both cables are 14 meters long, and they are anchored to points in the ground that are 14 meters apart. 30. In the accompanying diagram, ABC is a right triangle and CD is the altitude to hypotenuse AB. If AD = 4 and DB = 16, find the length of CD. What is the exact height of the pole, in meters? A. 7 B. 7 2 C. 7 3 D. 14 Teacher: Mrs. Flynn page 5 GEOMETRY

6 34. Next to each numeral, give a reason for each statement in the proof. Given: Prove: ABC, ACB is a right angle, and CD AB. AC BD = CD BC 35. In the accompanying diagram, right triangle DEF is similar to right triangle ABC. The measure of AC is 2 more than the measure of BC, the measure of EF is 3 less than the measure of BC, and DF = 4. Statements Reasons ACB is a right angle, CD (1) AB B = B (2) CDB is a right angle (3) CDB = ACB (4) ABC CBD (5) AC CD = BC BD (6) AC BD = CD BC (7) a) Find the measure of BC. b) Find the measure of AB. c) What is the ratio of the area of ABC to the area of DEF? 36. In the accompanying diagram of right triangle ABC, altitude CD is drawn to hypotenuse AB, CA = 6, and AB is 7 more than AD. a) Find AD to the nearest hundredth. b) Using the results from part a, find the length of altitude CD to the nearest tenth. Teacher: Mrs. Flynn page 6 GEOMETRY

7 37. In the accompanying diagram, ABC is similar to A B C, AB = 14.4, BC = 8, CA = 12, A B = x, and B C = 4. Find the value of x. Teacher: Mrs. Flynn page 7 GEOMETRY

8 Problem-Attic format version c EducAide Software Licensed for use by Dyl Bro Terms of Use at Teacher: Mrs. Flynn GEOMETRY Topic: Similarity 02/14/ D : D B D C C A B C C [proof] 35. 6; 10; 4 : ;

### 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent B. right C. equilateral D.

1. If two angles of a triangle measure 56 and 68, the triangle is A. scalene B. isosceles C. obtuse D. right 2. If two isosceles triangles have congruent vertex angles, then the triangles must be A. congruent

### Chapter 8: Right Triangles Topic 5: Mean Proportions & Altitude Rules

Name: Date: Do Now: Use the diagram to complete all parts: a) Find all three angles in each triangle. Chapter 8: Right Triangles Topic 5: Mean Proportions & Altitude Rules b) Find side ZY c) Are these

### Similarity of Triangle

Similarity of Triangle 95 17 Similarity of Triangle 17.1 INTRODUCTION Looking around you will see many objects which are of the same shape but of same or different sizes. For examples, leaves of a tree

### Pythagorean Theorem a= 6.4, b = 12, c = a = 2.1, b = 7.2, c = 7.5

Pythagorean Theorem Do the following lengths form a right triangle? 1. 2. 3. 4. 5. a= 6.4, b = 12, c = 12.2 6. a = 2.1, b = 7.2, c = 7.5 Find each missing length to the nearest tenth. 1. 2. 3. 1 Find the

### IB MYP Unit 6 Review

Name: Date: 1. Two triangles are congruent if 1. A. corresponding angles are congruent B. corresponding sides and corresponding angles are congruent C. the angles in each triangle have a sum of 180 D.

### 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT.

1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would prove l m? 1) 2.5 2) 4.5 3)

Triangles 1.In ABC right angled at C, AD is median. Then AB 2 = AC 2 - AD 2 AD 2 - AC 2 3AC 2-4AD 2 (D) 4AD 2-3AC 2 2.Which of the following statement is true? Any two right triangles are similar

### 0615geo. Geometry CCSS Regents Exam In the diagram below, congruent figures 1, 2, and 3 are drawn.

0615geo 1 Which object is formed when right triangle RST shown below is rotated around leg RS? 4 In the diagram below, congruent figures 1, 2, and 3 are drawn. 1) a pyramid with a square base 2) an isosceles

### Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Ismailia Road Branch

Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. in the parallelogram, each two opposite

### Test Review: Geometry I Period 3,5,7. ASSESSMENT DATE: Wednesday 3/25 (FOR ALL CLASSES) Things it would be a good idea to know:

Test Review: Geometry I Period 3,5,7 ASSESSMENT DATE: Wednesday 3/25 (FOR ALL CLASSES) Things it would be a good idea to know: 1) How to create proportions from a. a word problem b. a pair of similar triangles

### Relationships of Side Lengths and Angle Measures. Theorem: Practice: State the longest side of the triangle. Justify your answer.

10R Unit 8 Similarity CW 8.1 Relationships of Side Lengths and Angle Measures HW: Worksheet #8.1 (following these notes) Theorem: Practice: 1. State the longest side of the triangle. Justify your answer..

### GEO REVIEW TEST #1. 1. In which quadrilateral are the diagonals always congruent?

GEO REVIEW TEST #1 Name: Date: 1. In which quadrilateral are the diagonals always congruent? (1) rectangle (3) rhombus 4. In the accompanying diagram, lines AB and CD intersect at point E. If m AED = (x+10)

### 1. LINE SEGMENTS. a and. Theorem 1: If ABC A 1 B 1 C 1, then. the ratio of the areas is as follows: Theorem 2: If DE//BC, then ABC ADE and 2 AD BD

Chapter. Geometry Problems. LINE SEGMENTS Theorem : If ABC A B C, then the ratio of the areas is as follows: S ABC a b c ( ) ( ) ( ) S a b A BC c a a b c and b c Theorem : If DE//BC, then ABC ADE and AD

### Name: Class: Date: c. WZ XY and XW YZ. b. WZ ZY and XW YZ. d. WN NZ and YN NX

Class: Date: 2nd Semester Exam Review - Geometry CP 1. Complete this statement: A polygon with all sides the same length is said to be. a. regular b. equilateral c. equiangular d. convex 3. Which statement

### 0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?

0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle

### 0609ge. Geometry Regents Exam AB DE, A D, and B E.

0609ge 1 Juliann plans on drawing ABC, where the measure of A can range from 50 to 60 and the measure of B can range from 90 to 100. Given these conditions, what is the correct range of measures possible

### Quads. 4. In the accompanying figure, ABCD is a parallelogram, m A = 2x + 35, and m C = 5x 22. Find the value of x.

Name: Date: 1. In the accompanying diagram of rhombus ACD, the lengths of the sides A and C are represented by 3x 4 and 2x + 1, respectively. Find the value of x. 4. In the accompanying figure, ACD is

### Visit: ImperialStudy.com For More Study Materials Class IX Chapter 12 Heron s Formula Maths

Exercise 1.1 1. Find the area of a triangle whose sides are respectively 150 cm, 10 cm and 00 cm. The triangle whose sides are a = 150 cm b = 10 cm c = 00 cm The area of a triangle = s(s a)(s b)(s c) Here

### 0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.

0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD

### Unit 5: Applying Similarity of Triangles

Unit 5: Applying Similarity of Triangles Lesson 2: Applying the Triangle Side Splitter Theorem and Angle Bisector Theorem Students understand that parallel lines cut transversals into proportional segments.

### Geometry L2 Test Review Packet Similarity Test Date Friday March 18 Review Date Thursday March 17. Things it would be a good idea to know

Geometry L2 Test Review Packet Similarity Test Date Friday March 18 Review Date Thursday March 17 Things it would be a good idea to know 1. How to create a proportion from a. a word problem b. a pair of

### Geometry Honors Final Exam Review June 2018

Geometry Honors Final Exam Review June 2018 1. Determine whether 128 feet, 136 feet, and 245 feet can be the lengths of the sides of a triangle. 2. Casey has a 13-inch television and a 52-inch television

### Circle Practice. D. chord 5. Which of the following is not a radius of the circle?

Name: Date: 1. In circle P, XY is a. 4. How many radii can be named in the diagram? A. radius. diameter A. 2. 3 C. 4 D. 5 C. chord D. circumference 2. In circle P, A is a. A. diameter. radius C. circumference

### Geometry Problem Solving Drill 08: Congruent Triangles

Geometry Problem Solving Drill 08: Congruent Triangles Question No. 1 of 10 Question 1. The following triangles are congruent. What is the value of x? Question #01 (A) 13.33 (B) 10 (C) 31 (D) 18 You set

### 4.! ABC ~ DEF,! AC = 6 ft, CB = 3 ft, AB = 7 ft, DF = 9 ft.! What is the measure of EF?

Name:!!!!!!!!!!!!! Geo(2) GEOMETRY (2) REVIEW FOR FINAL EXAM #2 1. If ABC is similar to ADE, then AB AD =? AE. Which replaces the? to make the statement true? A. AC!! B. AE!! C. DE!! D. BC 2. In ABC,

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE II Tuesday, August 13, 2002 8:30 to 11:30 a.m., only Notice... Scientific

### ~ 1 ~ Geometry 2 nd Semester Review Find the value for the variable for each of the following situations

Geometry nd Semester Review 018 Find the value for the variable for each of the following situations. 7. 400 m 1. 7 8. y. 8.9 cm 0 0 9.. 19 6 60 1 11 10. 45 4. 58 5 11. 5. 11 6. 18 1 slide 4.1 meters long

### 5-1 Practice Form K. Midsegments of Triangles. Identify three pairs of parallel segments in the diagram.

5-1 Practice Form K Midsegments of Triangles Identify three pairs of parallel segments in the diagram. 1. 2. 3. Name the segment that is parallel to the given segment. 4. MN 5. ON 6. AB 7. CB 8. OM 9.

Geometry 3 SIMILARITY & CONGRUENCY Congruency: When two figures have same shape and size, then they are said to be congruent figure. The phenomena between these two figures is said to be congruency. CONDITIONS

### 9.2. Length of Line Segments. Lesson Objectives. Find the lengths of line segments on the x-axis and y-axis.

9.2 Length of Line Segments Lesson Objectives Find lengths of horizontal and vertical line segments on the coordinate plane. Solve real-world problems involving coordinates and a coordinate plane. Learn

### Name Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean. A. Definitions: 1.

Name Date Period Notes Formal Geometry Chapter 8 Right Triangles and Trigonometry 8.1 Geometric Mean A. Definitions: 1. Geometric Mean: 2. Right Triangle Altitude Similarity Theorem: If the altitude is

### CHAPTER 6 SOL PROBLEMS

Modified and Animated By Chris Headlee Dec 2011 CHAPTER 6 SOL PROBLEMS Super Second-grader Methods SOL Problems; not Dynamic Variable Problems 22 and 24 are too big for the picture of the ABC triangle

### Extra Test Review. 3. Use the following graph to find the area of a rectangle with vertices of ( 2, 4), ( 2, 4), (1, 4), and (1, 4).

Name: Date: 1. The sides of the outer square are about 14 inches. The sides of the inner square about 10 inches. What is a logical estimate for the circumference of the circle? 3. Use the following graph

### Int Math 2B EOC FIG Assessment ID: ib C. DE = DF. A. ABE ACD B. A + C = 90 C. C + D = B + E D. A = 38 and C = 38

1 If ΔDEF and ΔJKL are two triangles such that D J, which of the following would be sufficient to prove the triangles are similar? A. DE = EF JK KL B. DE = EF JK JL C. DE = DF JK KL D. DE = DF JK JL 2

### CONGRUENCE OF TRIANGLES

Congruence of Triangles 11 CONGRUENCE OF TRIANGLES You might have observed that leaves of different trees have different shapes, but leaves of the same tree have almost the same shape. Although they may

### Answers. Investigation 4. ACE Assignment Choices. Applications. The number under the square root sign increases by 1 for every new triangle.

Answers Investigation 4 ACE Assignment Choices Problem 4. Core, Other Connections 6 Problem 4. Core, 4, Other Applications 6 ; Connections 7, 6, 7; Extensions 8 46; unassigned choices from earlier problems

### Geometry M1: Unit 3 Practice Exam

Class: Date: Geometry M1: Unit 3 Practice Exam Short Answer 1. What is the value of x? 2. What is the value of x? 3. What is the value of x? 1 4. Find the value of x. The diagram is not to scale. Given:

### + 10 then give the value

1. Match each vocabulary word to the picture. A. Linear Pair B. Vertical Angles P1 C. Angle Bisector D. Parallel Lines E. Orthocenter F. Centroid For questions 3 4 use the diagram below. Y Z X U W V A

### 0112ge. Geometry Regents Exam Line n intersects lines l and m, forming the angles shown in the diagram below.

Geometry Regents Exam 011 011ge 1 Line n intersects lines l and m, forming the angles shown in the diagram below. 4 In the diagram below, MATH is a rhombus with diagonals AH and MT. Which value of x would

### Honors Geometry Mid-Term Exam Review

Class: Date: Honors Geometry Mid-Term Exam Review Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. Classify the triangle by its sides. The

### Unit 5 Test Review: Modeling with Geometry Honors

Name: ate: 1. What is the volume, in cubic centimeters, of a cube whose edge measures 2 centimeters? 5. A right circular cylinder has a base whose area is 12π. If the height of the cylinder is 6, the volume

### Geometry Midterm Exam Review 3. Square BERT is transformed to create the image B E R T, as shown.

1. Reflect FOXY across line y = x. 3. Square BERT is transformed to create the image B E R T, as shown. 2. Parallelogram SHAQ is shown. Point E is the midpoint of segment SH. Point F is the midpoint of

### Q1. The sum of the lengths of any two sides of a triangle is always (greater/lesser) than the length of the third side. askiitians

Class: VII Subject: Math s Topic: Properties of triangle No. of Questions: 20 Q1. The sum of the lengths of any two sides of a triangle is always (greater/lesser) than the length of the third side. Greater

### System of Equations Review

Name: Date: 1. Solve the following system of equations for x: x + y = 6 x y = 2 6. Solve the following systems of equations for x: 2x + 3y = 5 4x 3y = 1 2. Solve the following system of equations algebraically

### Wahkiakum School District, Pre-EOC Geometry 2012

Pre-EOC Assesment Geometry #1 Wahkiakum School District GEOM Page 1 1. What is the converse of If there are clouds in the sky, then it is raining? 2-2 A If it is raining, then there are clouds in the sky.

### Properties of Isosceles and Equilateral Triangles

Properties of Isosceles and Equilateral Triangles In an isosceles triangle, the sides and the angles of the triangle are classified by their position in relation to the triangle s congruent sides. Leg

TRIANGLES KEY POINTS 1. Similar Triangles: Two triangles are said to be similar, if (a) their corresponding angles are equal and (b) their corresponding sides are in proportion (or are in the same ration).

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Tuesday, June 19, :15 a.m. to 12:15 p.m.

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Tuesday, June 19, 2018 9:15 a.m. to 12:15 p.m., only Student Name: School Name: The possession or use of any communications

### Use this space for computations. 1 In trapezoid RSTV below with bases RS and VT, diagonals RT and SV intersect at Q.

Part I Answer all 28 questions in this part. Each correct answer will receive 2 credits. For each statement or question, choose the word or expression that, of those given, best completes the statement

### Chapter 6 Summary 6.1. Using the Hypotenuse-Leg (HL) Congruence Theorem. Example

Chapter Summary Key Terms corresponding parts of congruent triangles are congruent (CPCTC) (.2) vertex angle of an isosceles triangle (.3) inverse (.4) contrapositive (.4) direct proof (.4) indirect proof

### TRIANGLES CHAPTER 7. (A) Main Concepts and Results. (B) Multiple Choice Questions

CHAPTER 7 TRIANGLES (A) Main Concepts and Results Triangles and their parts, Congruence of triangles, Congruence and correspondence of vertices, Criteria for Congruence of triangles: (i) SAS (ii) ASA (iii)

### Chapter 8 Similar Triangles

Chapter 8 Similar Triangles Key Concepts:.A polygon in which all sides and angles are equal is called a regular polygon.. Properties of similar Triangles: a) Corresponding sides are in the same ratio b)

### 0611ge. Geometry Regents Exam Line segment AB is shown in the diagram below.

0611ge 1 Line segment AB is shown in the diagram below. In the diagram below, A B C is a transformation of ABC, and A B C is a transformation of A B C. Which two sets of construction marks, labeled I,

### 6 CHAPTER. Triangles. A plane figure bounded by three line segments is called a triangle.

6 CHAPTER We are Starting from a Point but want to Make it a Circle of Infinite Radius A plane figure bounded by three line segments is called a triangle We denote a triangle by the symbol In fig ABC has

### JEFFERSON MATH PROJECT REGENTS AT RANDOM

JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-August 2009 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished

### A. leg B. hipponamoose C. hypotenuse D. Big Guy. A. congruent B. complementary C. supplementary D. cute little things

3 rd quarter Review Name: Date: 1.] The longest side of a right triangle is called the.. leg. hipponamoose. hypotenuse D. ig Guy 2.] The acute angles of a right triangle are always.. congruent. complementary.

### Geometry Honors: Midterm Exam Review January 2018

Name: Period: The midterm will cover Chapters 1-6. Geometry Honors: Midterm Exam Review January 2018 You WILL NOT receive a formula sheet, but you need to know the following formulas Make sure you memorize

### PRACTICE PROBLEMS CH 8 and Proofs

GEOM PRACTICE PROBLEMS CH 8 and Proofs Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the length of the missing side. The triangle is not drawn to

### 9 th CBSE Mega Test - II

9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A

### Inside Out. Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems. Lesson 3.1 Assignment

Lesson.1 Assignment Name Date Inside Out Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems 1. Determine the measure of angle UPM in the figure shown. Explain your reasoning and show

### Unit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:

GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?

### 0114ge. Geometry Regents Exam 0114

0114ge 1 The midpoint of AB is M(4, 2). If the coordinates of A are (6, 4), what are the coordinates of B? 1) (1, 3) 2) (2, 8) 3) (5, 1) 4) (14, 0) 2 Which diagram shows the construction of a 45 angle?

### The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY

GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXMINTION GEOMETRY Thursday, January 26, 2012 9:15 a.m. to 12:15 p.m., only Student Name: Notice School Name: Print your name and the

### Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.

April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line

### Test Corrections for Unit 1 Test

MUST READ DIRECTIONS: Read the directions located on www.koltymath.weebly.com to understand how to properly do test corrections. Ask for clarification from your teacher if there are parts that you are

### Alg. (( Sheet 1 )) [1] Complete : 1) =.. 3) =. 4) 3 a 3 =.. 5) X 3 = 64 then X =. 6) 3 X 6 =... 7) 3

Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep. Nozha Language Schools Sheet Ismailia Road Branch [1] Complete : 1) 3 216 =.. Alg. (( Sheet 1 )) 1 8 2) 3 ( ) 2 =..

### JEFFERSON MATH PROJECT REGENTS AT RANDOM

JEFFERSON MATH PROJECT REGENTS AT RANDOM The NY Geometry Regents Exams Fall 2008-January 2010 Dear Sir I have to acknolege the reciept of your favor of May 14. in which you mention that you have finished

### Set up equations to find the lengths of the sides labeled by variables, and Find answers to the equations x. 19 y a a b.

SHADOWS After Day 10 SIMILAR POLYGONS In each of the pairs of figures below, assume the figures are similar and that they are facing the same way; that is, assume that the left side of one corresponds

### Year 9 Term 3 Homework

Yimin Math Centre Year 9 Term 3 Homework Student Name: Grade: Date: Score: Table of contents 5 Year 9 Term 3 Week 5 Homework 1 5.1 Geometry (Review)................................... 1 5.1.1 Angle sum

### Triangles. Chapter Flowchart. The Chapter Flowcharts give you the gist of the chapter flow in a single glance.

Triangles Chapter Flowchart The Chapter Flowcharts give you the gist of the chapter flow in a single glance. Triangle A plane figure bounded by three line segments is called a triangle. Types of Triangles

### Ratios and Proportions

Warm Ups Ratios and Proportions Ratio: expression that compares_ two quantities by division Examples: Proportion: a statement of _equality between two _ratios Examples: Solve examples of proportions with

### 2-7 Applications of Proportions. Warm Up. Evaluate each expression for a = 3, b = 2, c = a b 2. 3b ab 2c. Solve each proportion

Warm Up Evaluate each expression for a = 3, b = 2, c = 5. 1. 4a b 2. 3b 2 5 3. ab 2c Solve each proportion. 4. 5. Learning Goal 1. Students will use ratios to find missing measures of similar figures 2.

### Practice Test Student Answer Document

Practice Test Student Answer Document Record your answers by coloring in the appropriate bubble for the best answer to each question. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26

### Prerequisite Skills. y x =

Prerequisite Skills BLM 1 1... Solve Equations 1. Solve. 2x + 5 = 11 x 5 + 6 = 7 x 2 = 225 d) x 2 = 24 2 + 32 2 e) 60 2 + x 2 = 61 2 f) 13 2 12 2 = x 2 The Pythagorean Theorem 2. Find the measure of the

### Foundations of Math 2 Final A. Which graph would best represent the graph of this parabola if it is translated 4 units down and 6 units left?

Name: Date: 1. The graph of y = x 2 + is shown below. Which graph would best represent the graph of this parabola if it is translated units down and 6 units left? 2. The roots of a quadratic equation can

### 2016 State Mathematics Contest Geometry Test

2016 State Mathematics Contest Geometry Test In each of the following, choose the BEST answer and record your choice on the answer sheet provided. To ensure correct scoring, be sure to make all erasures

### GEOMETRY (Common Core)

GEOMETRY (COMMON CORE) The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY (Common Core) Tuesday, June 2, 2015 1:15 to 4:15 p.m., only Student Name: School Name: The possession

### Core Mathematics 2 Trigonometry (GCSE Revision)

Core Mathematics 2 Trigonometry (GCSE Revision) Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Trigonometry 1 1 Trigonometry The sine and cosine rules, and the area of a triangle

### C accurately drawn. Calculate the upper bound for the area of triangle ABC. .. mm 2 (2)

1. C Diagram NOT accurately drawn A B The diagram shows a triangle ABC. Angle ABC is exactly 90. AB = 83 mm correct to 2 significant figures. BC = 90 mm correct to 1 significant figures. (a) Calculate

### Nozha Directorate of Education Form : 2 nd Prep

Cairo Governorate Department : Maths Nozha Directorate of Education Form : 2 nd Prep Nozha Language Schools Geometry Revision Sheet Ismailia Road Branch Sheet ( 1) 1-Complete 1. In the parallelogram, each

### Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper.

Math 5 Trigonometry Fair Game for Chapter 1 Test Show all work for credit. Write all responses on separate paper. 12. What angle has the same measure as its complement? How do you know? 12. What is the

### Geometry Final Review. Chapter 1. Name: Per: Vocab. Example Problems

Geometry Final Review Name: Per: Vocab Word Acute angle Adjacent angles Angle bisector Collinear Line Linear pair Midpoint Obtuse angle Plane Pythagorean theorem Ray Right angle Supplementary angles Complementary

### Edexcel New GCE A Level Maths workbook Trigonometry 1

Edecel New GCE A Level Maths workbook Trigonometry 1 Edited by: K V Kumaran kumarmaths.weebly.com 1 Trigonometry The sine and cosine rules, and the area of a triangle in the form 21 ab sin C. kumarmaths.weebly.com

### y x x y i 2i i = 1, what is the value of ACT Practice 1 1. If x > 0, y 0, each of the following MUST be a real number EXCEPT: A. xy B. xy E.

ACT Practice Name:. If > 0, 0, each of the following MUST be a real number EXCEPT:. If and are rational, 0, 0, each of the following is a rational number EXCEPT: +. The product of two irrational numbers

### Class Notes on Pythagoras Theorem (Chapter 12) Chapter 12 English Version

Class Notes on Pythagoras Theorem (Chapter 12) Chapter 12 English Version Yakub S.,GHS Nada,Belthangady Tq, ph:9008983286,email:yhokkila@gmail.com Page 0 Pythagoras Theorem In a right angled triangle,

### Geometer: CPM Chapters 1-6 Period: DEAL. 7) Name the transformation(s) that are not isometric. Justify your answer.

Semester 1 Closure Geometer: CPM Chapters 1-6 Period: DEAL Take time to review the notes we have taken in class so far and previous closure packets. Look for concepts you feel very comfortable with and

### Grade 7 Triangle and its properties

ID : ae-7-triangle-and-its-properties [1] Grade 7 Triangle and its properties For more such worksheets visit www.edugain.com Answer t he quest ions (1) In triangle In ΔABC, D is a point on the side BC

### Chapter 6. Worked-Out Solutions AB 3.61 AC 5.10 BC = 5

27. onstruct a line ( DF ) with midpoint P parallel to and twice the length of QR. onstruct a line ( EF ) with midpoint R parallel to and twice the length of QP. onstruct a line ( DE ) with midpoint Q

### Q4. In ABC, AC = AB and B = 50. Find the value of C. SECTION B. Q5. Find two rational numbers between 1 2 and.

SUMMATIVE ASSESSMENT 1 (2013 2014) CLASS IX (SET I) SUBJECT : MATHEMATICS Time: 3 hours M.M. : 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 31 questions

### Name. 9. Find the diameter and radius of A, B, and C. State the best term for the given figure in the diagram.

Name LESSON 10.1 State the best term for the given figure in the diagram. 9. Find the diameter and radius of A, B, and C. 10. Describe the point of intersection of all three circles. 11. Describe all the

### 0612ge. Geometry Regents Exam

0612ge 1 Triangle ABC is graphed on the set of axes below. 3 As shown in the diagram below, EF intersects planes P, Q, and R. Which transformation produces an image that is similar to, but not congruent

### Which statement is true about parallelogram FGHJ and parallelogram F ''G''H''J ''?

Unit 2 Review 1. Parallelogram FGHJ was translated 3 units down to form parallelogram F 'G'H'J '. Parallelogram F 'G'H'J ' was then rotated 90 counterclockwise about point G' to obtain parallelogram F

### 0116ge. Geometry Regents Exam RT and SU intersect at O.

Geometry Regents Exam 06 06ge What is the equation of a circle with its center at (5, ) and a radius of 3? ) (x 5) + (y + ) = 3 ) (x 5) + (y + ) = 9 3) (x + 5) + (y ) = 3 4) (x + 5) + (y ) = 9 In the diagram

### 0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.

0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation

### Skills Practice Skills Practice for Lesson 9.1

Skills Practice Skills Practice for Lesson.1 Name Date Meeting Friends The Distance Formula Vocabular Define the term in our own words. 1. Distance Formula Problem Set Archaeologists map the location of

### 0809ge. Geometry Regents Exam Based on the diagram below, which statement is true?

0809ge 1 Based on the diagram below, which statement is true? 3 In the diagram of ABC below, AB AC. The measure of B is 40. 1) a b ) a c 3) b c 4) d e What is the measure of A? 1) 40 ) 50 3) 70 4) 100

### H. Math 2 Benchmark 1 Review

H. Math 2 enchmark 1 Review Name: ate: 1. Parallelogram C was translated to parallelogram C. 2. Which of the following is a model of a scalene triangle?.. How many units and in which direction were the

### b) What is the area of the shaded region? Geometry 1 Assignment - Solutions

Geometry 1 Assignment - Solutions 1. ABCD is a square formed by joining the mid points of the square PQRS. LKXS and IZXY are the squares formed inside the right angled triangles DSC and KXC respectively.