Properties of Triangles and Four-Sided Figures Lesson 13.1 Classifying Triangles
|
|
|
- Johnathan Lee
- 6 years ago
- Views:
Transcription
1 HPT13 Properties of Triangles and our-sided igures Lesson 13.1 lassifying Triangles 1. lassify the following triangles by sides as a scalene triangle, an isosceles triangle, or an equilateral triangle. G H L P K X M N S K Y Z Marshall avendish International (Singapore) Private Limited. T U Scalene Triangles quilateral Triangles Isosceles Triangles xtra Practice 5 101
2 2. lassify the following triangles by angles as a right triangle, an isosceles triangle, or an equilateral triangle. Use a protractor to help you classify the triangles. G H K L P S M N V X T U W X Y Z ight Triangles quilateral Triangles Isosceles Triangles Marshall avendish International (Singapore) Private Limited. 102 hapter 13 Lesson 13.1
3 Lesson 13.2 Measures of ngles of a Triangle ind the unknown angle measures. The figures are not drawn to scale a 46 m a e m e 3. Marshall avendish International (Singapore) Private Limited. 4. g 28 G H m g m f 76 f xtra Practice 5 103
4 5. T t V m t U r S m r T 7. X V W y Y m y a 47 m a Marshall avendish International (Singapore) Private Limited. 104 hapter 13 Lesson 13.2
5 Lesson 13.3 ight, Isosceles, and quilateral Triangles ind the unknown angle measures in each right triangle. The figures are not drawn to scale. 1. is a right triangle. ind the measure of P is a right triangle. ind the measure of P. Marshall avendish International (Singapore) Private Limited. P 37 xtra Practice 5 105
6 ind the unknown angle measures. The figures are not drawn to scale. 3. is a right triangle. ind the measure of is an isosceles triangle with, m 34, and m 44. ind the measure of Marshall avendish International (Singapore) Private Limited. 106 hapter 13 Lesson 13.3
7 ind the unknown angle measures in each figure. The figures are not drawn to scale. 5. O is an isosceles triangle. O O. O is a right triangle. ind the measure of O 24 O 6. is an equilateral triangle and is an isosceles triangle. ind the measure of. Marshall avendish International (Singapore) Private Limited. xtra Practice 5 107
8 7. is a 6-sided figure. ll the triangles are equilateral triangles. ind the measure of. 8. is an equilateral triangle.. ind the measure of. 28 Marshall avendish International (Singapore) Private Limited. 108 hapter 13 Lesson 13.3
9 Lesson 13.4 Triangle Inequalities omplete. Measure the sides of the triangle to the nearest inch. P 1. P in. in. P in. 2. P in. 3. P P in. 4. P in. Marshall avendish International (Singapore) Private Limited. Use your answers in xercises 1 to 4. ill in the blanks with Yes or No. 5. Is P P? 6. Is P P? 7. Is P P? xtra Practice 5 109
10 omplete. Measure the sides of the triangle to the nearest centimeter. 8. cm cm cm 9. cm 10. cm 11. cm Use your answers in xercises 8 to 11. Write the sides of the triangle to make the inequalities true Marshall avendish International (Singapore) Private Limited. 110 hapter 13 Lesson 13.4
11 The lengths of two sides of each triangle are given. Name a possible length for the third side. The given lengths are in whole centimeters or inches. 15. Z 2 in.? X 4 in. Y In triangle XYZ, the length of ZY is greater than 2 inches. possible length of ZY, rounded to the nearest inch, is. 16. G? 5 cm Marshall avendish International (Singapore) Private Limited. 4 cm In triangle G, the length of G is greater than 4 centimeters. possible length of G, rounded to the nearest centimeter, is. xtra Practice 5 111
12 The lengths of two sides of each triangle are given. Name a possible length for the third side. The given lengths are in whole centimeters or whole inches. 17. U 9 cm? S 8 cm T In triangle STU, the length of UT is less than 10 centimeters. possible length of UT, rounded to the nearest centimeter, is in.? P 3 in. In triangle P, the length of is greater than 3 inches. The possible length of, rounded to the nearest inch, is. Marshall avendish International (Singapore) Private Limited. 112 hapter 13 Lesson 13.4
13 Lesson 13.5 Parallelogram, hombus, and Trapezoid ind the unknown angle measures. The figures are not drawn to scale. 1. G is a parallelogram and G GH. ind the measure of y. H y G 2. PS is a parallelogram and ST is a right triangle. ind the measures of PS and ST. Marshall avendish International (Singapore) Private Limited. 118 P S T xtra Practice 5 113
14 3. and are parallelograms. ind the measure of PS is a rhombus and P T. ind the measure of P. P S T 116 Marshall avendish International (Singapore) Private Limited. 114 hapter 13 Lesson 13.5
15 5. WXYZ is a rhombus and WV is a line segment. ind the measure of VYZ. X W 128 Y V Z 6. is a rhombus. is a line segment. ind the measure of x Marshall avendish International (Singapore) Private Limited. x xtra Practice 5 115
16 7. PS is trapezoid and S P. S P. ind the measure of P. S 67 P is a trapezoid. and. is a line. ind the measure of Marshall avendish International (Singapore) Private Limited. 116 hapter 13 Lesson 13.5
17 Put on Your Thinking ap! The figures are not drawn to scale. ind the unknown angle measures. 1. PS and STUV are parallelograms and PT PU. ind the measure of SV. U 118 V P T S 2. PS is a parallelogram and ST SP. ind the measure of a. Marshall avendish International (Singapore) Private Limited. T S 106 P a xtra Practice 5 117
18 3. is a square and is a rhombus. ind the measure of G is a trapezoid and G. and are isosceles triangles. ind the measures of x and y. 32 y G x Marshall avendish International (Singapore) Private Limited. 118 hapter 13 Put on Your Thinking ap!
19 5. In the figure, PS P and the measure of STP is twice the measure of TPS. ind the measures of x and y. y T S P x is an equilateral triangle. is an isosceles triangle, where, m 54, and m 118. ind the measures of x and y. Marshall avendish International (Singapore) Private Limited. x y G xtra Practice 5 119
20 7. is a rectangle. and G. ind the measures of x and y. G y 34 x is a right triangle, G is a line segment, and m m. m 90 and. ind the measures of x and y. G 103 x y 56 Marshall avendish International (Singapore) Private Limited. 120 hapter 13 Put on Your Thinking ap!
Properties of Triangles and Four-Sided Figures Lesson 13.1 Classifying Triangles
HPTR13 Properties of Triangles and our-sided igures Lesson 13.1 lassifying Triangles 1. lassify the following triangles by sides as a scalene triangle, an isosceles triangle, or an equilateral triangle.
Angles. Lesson 12.1 Angles on a Line. Find the unknown marked angles. The diagrams are not drawn to scale. 1. AC is a line. Find the measure of DBE.
ate: 12 HPTR ngles Lesson 12.1 ngles on a Line ind the unknown marked angles. The diagrams are not drawn to scale. 1. is a line. ind the measure of. 78 47 2009 Marshall avendish International (Singapore)
Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition. GEOMETRY and MEASUREMENT GRADE 7-8
Kansas City Area Teachers of Mathematics 2018 KCATM Math Competition INSTRUCTIONS GEOMETRY and MEASUREMENT GRADE 7-8 Do not open this booklet until instructed to do so. Time limit: 20 minutes Mark your
Lesson 12.1 Skills Practice
Lesson 12.1 Skills Practice Introduction to ircles ircle, Radius, and iameter Vocabulary efine each term in your own words. 1. circle circle is a collection of points on the same plane equidistant from
Pre-Algebra Chapter 9 Spatial Thinking
Pre-Algebra Chapter 9 Spatial Thinking SOME NUMBERED QUESTIONS HAVE BEEN DELETED OR REMOVED. YOU WILL NOT BE USING A CALCULATOR FOR PART I MULTIPLE-CHOICE QUESTIONS, AND THEREFORE YOU SHOULD NOT USE ONE
Section 8.1 Objective: Students will be able to solve equations to find angle measures (supplementary and complementary).
Lincoln Public Schools Math 8 McDougall Littell Middle School Math Course 3 Chapter 8 Items marked A, B, C are increasing in difficulty. Group A questions are the most basic while Group C are the most
Lesson 9.3 Relating Congruent and Similar Figures to Geometric Transformations
Lesson 9. Relating ongruent and Similar Figures to Geometric Transformations State whether the figure and image are congruent or similar.. Rectangle D is rotated 90 clockwise about verte.. parallelogram
Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7
Kansas City Area Teachers of Mathematics 2015 KCATM Math Competition GEOMETRY GRADE 7 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators. Mark
SEMESTER REVIEW 1: Chapters 1 and 2
Geometry Fall emester Review (13-14) EEER REVIEW 1: hapters 1 and 2 1. What is Geometry? 2. What are the three undefined terms of geometry? 3. Find the definition of each of the following. a. Postulate
Semester 1 Cumulative Summative Review Teacher: Date: B
GOMTRY Name: 2016-2017 Semester 1 umulative Summative Review Teacher: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help
4.3 Isosceles and Equilateral
4.3 Isosceles and quilateral Triangles Goal Use properties of isosceles and equilateral triangles. Key Words legs of an isosceles triangle base of an isosceles triangle base angles Geo-ctivity Properties
UNIT 1 SIMILARITY, CONGRUENCE, AND PROOFS Lesson 9: Proving Theorems About Triangles Instruction
Prerequisite Skills This lesson requires the use of the following skills: identifying and using vertical angles, supplementary angles, and complementary angles to find unknown angle measures recognizing
Name: GEOMETRY: EXAM (A) A B C D E F G H D E. 1. How many non collinear points determine a plane?
GMTRY: XM () Name: 1. How many non collinear points determine a plane? ) none ) one ) two ) three 2. How many edges does a heagonal prism have? ) 6 ) 12 ) 18 ) 2. Name the intersection of planes Q and
Reteaching , or 37.5% 360. Geometric Probability. Name Date Class
Name ate lass Reteaching Geometric Probability INV 6 You have calculated probabilities of events that occur when coins are tossed and number cubes are rolled. Now you will learn about geometric probability.
A shape which can be divided by a straight line, so that each part is the mirror image of the other has reflective symmetry.
SYMMETRY There are two kinds of symmetry: a) reflective symmetry b) rotational symmetry a) Reflective Symmetry A shape which can be divided by a straight line, so that each part is the image of the other
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
Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.
Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12
Name Geometry Common Core Regents Review Packet - 3. Topic 1 : Equation of a circle
Name Geometry Common Core Regents Review Packet - 3 Topic 1 : Equation of a circle Equation with center (0,0) and radius r Equation with center (h,k) and radius r ( ) ( ) 1. The endpoints of a diameter
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1106 Exam #3 Review Sheet Chapters 8-9 Fill in the missing value. 1) 816 mm = cm 2) 54.96 m = km 3) 492 L = ml 4) 800 mg = kg 5) 25 kg = mg Arrange the quantities in order from smallest to largest.
1. Use. What are the vertices of A.,, B.,, C.,, D.,,
1. Use. What are the vertices of A.,, B.,, C.,, D.,, 2. Given, how are the distances to the origin from each image point related to the distance to the origin from each corresponding preimage point? A.
Unit 4A Part B 1) The radius of a circular clock face is 13 centimeters. Which expression can be used to find the
7.5B 1) The radius of a circular clock face is 13 centimeters. Which expression can be used to find the circumference of the clock face in centimeters? F. G. 2) Information about three circles is listed
Los Angeles Unified School District Periodic Assessments. Geometry. Assessment 2 ASSESSMENT CODE LA08_G_T2_TST_31241
Los Angeles Unified School District Periodic Assessments Assessment 2 2008 2009 Los Angeles Unified School District Periodic Assessments LA08_G_T2_TST_31241 ASSESSMENT ODE 1100209 The test items contained
Course 2 Benchmark Test Third Quarter
Course 2 Benchmark Test Third Quarter 1. Suppose the length of each side of a square is increased by 5 feet. If the perimeter of the square is now 56 feet, what were the original side lengths of the square?
Indicate whether the statement is true or false.
PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.
~ 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
NCERT Solutions for Class 7 Maths Chapter 14
NCERT Solutions for Class 7 Maths Chapter 14 Symmetry Class 7 Chapter 14 Symmetry Exercise 14.1, 14.2, 14.3 Solutions Exercise 14.1 : Solutions of Questions on Page Number : 268 Q1 : Copy the figures with
Name: 2015 Midterm Review Period: Date:
GEOMETRY Name: 2015 Midterm Review Period: Date: To be prepared for your midterm, you will need to PRACTICE PROBLEMS and STUDY TERMS from the following chapters. Use this guide to help you practice. UNIT
Grade Demonstrate mastery of the multiplication tables for numbers between 1 and 10 and of the corresponding division facts.
Unit 1 Number Theory 1 a B Find the prime factorization of numbers (Lesson 1.9) 5.1.6 Describe and identify prime and composite numbers. ISTEP+ T1 Pt 1 #11-14 1b BD Rename numbers written in exponential
Chapter 12 Practice Test
hapter 12 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. ssume that lines that appear to be tangent are tangent. is the center of the circle.
Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition
Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes Mark your
Name That Triangle! Classifying Triangles on the Coordinate Plane. LESSON 5.1 Assignment
LESSON.1 Assignment Name Date Name That Triangle! Classifying Triangles on the Coordinate Plane 1. The grid shown is a map of Stoneville and the locations of several businesses in the town. A line segment
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
Final Exam Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
( Final Exam Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is an isosceles triangle. is the longest side with length. = and =. Find. 4 x + 4 7
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
Assignment. Riding a Ferris Wheel Introduction to Circles. 1. For each term, name all of the components of circle Y that are examples of the term.
ssignment ssignment for Lesson.1 Name Date Riding a Ferris Wheel Introduction to ircles 1. For each term, name all of the components of circle Y that are examples of the term. G R Y O T M a. hord GM, R,
Name: Class: Date: 5. If the diagonals of a rhombus have lengths 6 and 8, then the perimeter of the rhombus is 28. a. True b.
Indicate whether the statement is true or false. 1. If the diagonals of a quadrilateral are perpendicular, the quadrilateral must be a square. 2. If M and N are midpoints of sides and of, then. 3. The
Monday HW Answers a z = n = 2 5. angle: 40 degrees x = right isosceles 7. angle: 50 degrees x = work.
1. 34a 15 2. 2 3. z = 139 4. n = 2 5. angle: degrees x = 28 6. right isosceles 7. angle: degrees x = 6 Monday HW Answers. 1 Recap! A straight angle measures. A triangle always measures. A quadrilateral
Math Self-Test Version Form A Measurement and Geometry
Math Self-Test Version 0.1.1 Form A Measurement and Geometry Draw each object and describe the key characteristics that define the object. [3 pts. each] 1) Acute Triangle 2) Arc 3) Chord 4) Cube 5) Cylinder
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,
Name: Jan 2016 Semester1 Review Block: Date:
GOMTRY Name: Jan 2016 Semester1 Review lock: ate: To be prepared for your midterm, you will need to PRTI PROLMS and STUY TRMS from the following chapters. Use this guide to help you practice. Unit 1 (1.1
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
Transforming to a New Level!
Lesson.1 Assignment Name Date Transforming to a New Level! Using Transformations to Determine Area 1. Franco translates rectangle JKLM so that it has one verte on the origin. The result is rectangle J9K9L9M9.
7-2 Similar Polygons. CCSS REGULARITY Each pair of polygons is similar. Find the value of x.
CCSS REGULARITY Each pair of polygons is similar. Find the value of x. 18. Solve for x. 19. Solve for x. esolutions Manual - Powered by Cognero Page 1 20. Solve for x. 21. Solve for x. esolutions Manual
Geometry. Midterm Review
Geometry Midterm Review Class: Date: Geometry Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1 A plumber knows that if you shut off the water
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
California 3 rd Grade Standards / Excel Math Correlation by Lesson Number
California 3 rd Grade Standards / Lesson (Activity) L1 L2 L3 L4 L5 L6 L7 L8 Excel Math Lesson Objective Learning about the tens place and the ones place; adding and subtracting two-digit numbers; learning
Unit 2 Review. Determine the scale factor of the dilation below.
Unit 2 Review 1. oes the graph below represent a dilation? Why or why not? y 10 9 8 7 (0, 7) 6 5 4 3 (0, 3.5) 2 1 (5, 7) (5, 3.5) -10-9 -8-7 -6-5 -4-3 -2-1 0 1 2 3 4 5 6 7 8 9 10-1 F -2 (5, 0) -3-4 -5-6
NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST. Name: Date:
NORTH THURSTON PUBLIC SCHOOLS END OF COURSE GEOMETRY PRACTICE TEST Name: Date: Day 1 1. Determine the value of x if ΔABC is equilateral. B 7.5x 6x + 3 A Write your answer on the line. 10x 5 C What is the
1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3. a cm b cm c cm d. 21.
FALL SEMESTER EXAM REVIEW (Chapters 1-6) CHAPTER 1 1. How many planes can be drawn through any three noncollinear points? a. 0 b. 1 c. 2 d. 3 2. Find the length of PQ. a. 50.9 cm b. 46.3 cm c. 25.7 cm
1 st Preparatory. Part (1)
Part (1) (1) omplete: 1) The square is a rectangle in which. 2) in a parallelogram in which m ( ) = 60, then m ( ) =. 3) The sum of measures of the angles of the quadrilateral equals. 4) The ray drawn
9.3 Start Thinking. 9.3 Warm Up. 9.3 Cumulative Review Warm Up. In the diagram below, CD is an altitude to the hypotenuse of. 1.
9.3 Start Thinking In the diagram below, is an altitude to the hpotenuse of. 1. Prove:. Prove: 3. Use the information from the two proofs to make a conclusion about the two smaller triangles in the diagram.
1 What is the solution of the system of equations graphed below? y = 2x + 1
1 What is the solution of the system of equations graphed below? y = 2x + 1 3 As shown in the diagram below, when hexagon ABCDEF is reflected over line m, the image is hexagon A'B'C'D'E'F'. y = x 2 + 2x
fcat first semester final. circle the best answer. show any work on test.
Name: Class: Date: ID: A fcat first semester final. circle the best answer. show any work on test. 1. Solve the proportion. 5 34 = x 340 a. 170 b. 2312 c. 10 d. 50 State whether the number is prime, composite,
California 5 th Grade Standards / Excel Math Correlation by Lesson Number
(Activity) L1 L2 L3 Excel Math Objective Recognizing numbers less than a million given in words or place value; recognizing addition and subtraction fact families; subtracting 2 threedigit numbers with
Chapter 19 Exercise 19.1
hapter 9 xercise 9... (i) n axiom is a statement that is accepted but cannot be proven, e.g. x + 0 = x. (ii) statement that can be proven logically: for example, ythagoras Theorem. (iii) The logical steps
1 = 1, b d and c d. Chapter 7. Worked-Out Solutions Chapter 7 Maintaining Mathematical Proficiency (p. 357) Slope of line b:
hapter 7 aintaining athematical Proficienc (p. 357) 1. (7 x) = 16 (7 x) = 16 7 x = 7 = 7 x = 3 x 1 = 3 1 x = 3. 7(1 x) + = 19 = 7(1 x) = 1 7(1 x) 7 = 1 7 1 x = 3 1 = 1 x = x 1 = 1 x = 3. 3(x 5) + 8(x 5)
Analysis of California Mathematics standards to Common Core standards Grade 4
Analysis of California Mathematics standards to Common Core standards Grade 4 Strand CA Math Standard Domain Common Core Standard (CCS) Alignment Comments in Reference to CCS Strand Number Sense CA Math
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
1) Complete : 25 1) =. ( as a mixed no.) 6
Revision sheet ) Complete : 25 ) =. ( as a mixed no.) 6 9 2) =.. ( as an improper fraction ) ) 6 = ( as a decimal form) ) The place value of the digit 5 in 67. 58 is 5) Five hundred thirty two and five
EC and AB because AIA are congruent Substituting into the first equation above
4.1 Triangles Sum onjectures uxillary line: an extra line or segment that helps you with your proof. Page 202 Paragraph proof explaining why the Triangle Sum onjecture is true. onjecture: The sum of the
Alaska Mathematics Standards Vocabulary Word List Grade 4
1 add addend additive comparison area area model common factor common multiple compatible numbers compose composite number counting number decompose difference digit divide dividend divisible divisor equal
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
Chapter 2. The laws of sines and cosines. 2.1 The law of sines. Theorem 2.1 (The law of sines). Let R denote the circumradius of a triangle ABC.
hapter 2 The laws of sines and cosines 2.1 The law of sines Theorem 2.1 (The law of sines). Let R denote the circumradius of a triangle. 2R = a sin α = b sin β = c sin γ. α O O α as Since the area of a
2013 ACTM Regional Geometry Exam
2013 TM Regional Geometry Exam In each of the following choose the EST answer and record your choice on the answer sheet provided. To insure correct scoring, be sure to make all erasures completely. The
Geometry Unit 7 - Notes Right Triangles and Trigonometry
Geometry Unit 7 - Notes Right Triangles and Trigonometry Review terms: 1) right angle ) right triangle 3) adjacent 4) Triangle Inequality Theorem Review topic: Geometric mean a = = d a d Syllabus Objective:
Work with a partner. Use dynamic geometry software. Draw any scalene ABC. a. Find the side lengths and angle measures of the triangle.
OMMON ORE Learning Standard HSG-O..0 6.5 Indirect Proof and Inequalities in One riangle Essential Question How are the sides related to the angles of a triangle? How are any two sides of a triangle related
Geometry Honors Summer Assignment
Geometry Honors Summer ssignment The problems in this packet are meant to help you review topics from previous mathematics courses. uring this course you will be using these skills and applying them to
Chapter 10 Worksheet 1 Name: Honors Accelerated Geometry Hour:
hapter 10 Worksheet 1 Name: Honors ccelerated Geometry Hour: For 1-15, find the measure of angle in each of the following diagrams. 1. 2.. 258 84 140 40 4. 5. 6. 2 y 80 y 72 7. 8. 9. 50 X 40 140 4 y 10.
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
Shape Perimeter Area. + s 3. + s 2. side 3 (s 3 ) base (b) and side 1 (s 1
Geometric Formulas Reteaching 91 Math Course 1, Lesson 91 Shape Perimeter Area Square P = 4s A = s 2 Rectangle P = 2l + 2w A = lw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1 2 bh
Geometry review two. Name: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
Name: Class: Date: Geometr review two Multiple Choice Identif the letter of the choice that best completes the statement or answers the question. 1. If a b = 5, then 3a =. 3 2. a. 3b b. 10b c. 5b d. 6b
Common Core Readiness Assessment 3
Common Core Readiness ssessment 3 1. B 3. Find the value of x. D E 2y24 y15 C y13 2x If you know that DE y C, and that D and E are midpoints, which of the following justifies that C 5 2DE? Triangle Midsegment
Answers. Chapter 9 A92. Angles Theorem (Thm. 5.6) then XZY. Base Angles Theorem (Thm. 5.6) 5, 2. then WV WZ;
9 9. M, 0. M ( 9, 4) 7. If WZ XZ, then ZWX ZXW ; Base Angles Theorem (Thm..6). M 9,. M ( 4, ) 74. If XZ XY, then XZY Y; Base Angles Theorem (Thm..6). M, 4. M ( 9, ) 7. If V WZV, then WV WZ; Converse of
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8
Kansas City Area Teachers of Mathematics 2013 KCATM Math Competition GEOMETRY GRADES 7-8 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use calculators.
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
Geometry Final Exam REVIEW
Name: Class: _ Date: _ Geometry Final Exam 09-10 - REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.
8 Right Triangle Trigonometry
www.ck12.org CHAPTER 8 Right Triangle Trigonometry Chapter Outline 8.1 THE PYTHAGOREAN THEOREM 8.2 CONVERSE OF THE PYTHAGOREAN THEOREM 8.3 USING SIMILAR RIGHT TRIANGLES 8.4 SPECIAL RIGHT TRIANGLES 8.5
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
REVIEW PACKET January 2012
NME: REVIEW PKET January 2012 My PERIOD DTE of my EXM TIME of my EXM **THERE RE 10 PROBLEMS IN THIS REVIEW PKET THT RE IDENTIL TO 10 OF THE PROBLEMS ON THE MIDTERM EXM!!!** Your exam is on hapters 1 6
Mathematics Enhancement Programme
1A 1B UNIT 3 Theorem Lesson Plan 1 Introduction T: We looked at angles between 0 and 360 two weeks ago. Can you list the different types of angles? (Acute, right, reflex, obtuse angles; angles on straight
Final Exam Review Packet
Final Exam Review Packet 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 scale. 6 8 a.
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
0110ge. Geometry Regents Exam Which expression best describes the transformation shown in the diagram below?
0110ge 1 In the diagram below of trapezoid RSUT, RS TU, X is the midpoint of RT, and V is the midpoint of SU. 3 Which expression best describes the transformation shown in the diagram below? If RS = 30
End of Course Review
End of Course Review Geometry AIR Test Mar 14 3:07 PM Test blueprint with important areas: Congruence and Proof 33 39% Transformations, triangles (including ASA, SAS, SSS and CPCTC), proofs, coordinate/algebraic
Squares and Square Roots. The Pythagorean Theorem. Similar Figures and Indirect Measurement
Lesson 9-1 Lesson 9-2 Lesson 9-3 Lesson 9-4 Lesson 9-5 Lesson 9-6 Squares and Square Roots The Real Number System Triangles The Pythagorean Theorem The Distance Formula Similar Figures and Indirect Measurement
Symmetry Groups 11/19/2017. Problem 1. Let S n be the set of all possible shuffles of n cards. 2. How many ways can we shuffle n cards?
Symmetry Groups 11/19/2017 1 Shuffles Problem 1 Let S n be the set of all possible shuffles of n cards. 1. How many ways can we shuffle 6 cards? 2. How many ways can we shuffle n cards? Problem 2 Given
Chapter 11 Similarity Problems
hapter Similarit roblems. ind the ratio of the perimeter of rectangle to the perimeter of rectangle L. L 4. Δ and ΔL are similar. ind the ratio of their corresponding sides. 5 ft ft 9 ft ft 0 m 8 m []
Challenge: Skills and Applications For use with pages P( 1, 4) R( 3, 1)
LESSON 8.4 NME TE hallenge: Skills and pplications For use with pages 480 487 1. Refer to the diagram, where VW YZ. a. Write a similarit statement. b. Write a paragraph proof for our result. V X Y W Z.
Park Forest Math Team. Meet #4. Geometry. Self-study Packet
Park Forest Math Team Meet #4 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
5-7 The Pythagorean Theorem
5-7 The Pythagorean Theorem Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up Classify each triangle by its angle measures. 1. 2. acute right 3. Simplify 12 4. If a = 6, b = 7, and c = 12, find
DIRECTIONS. Pre-Test 1. Evaluate 3(x 2y), if x 5 and y 4. A. 9 B. 7 C. 39 D. 18
DIRECTIONS Read each of the questions below, and then decide on the BEST answer. There are man different kinds of questions, so read each question carefull before marking an answer on our answer sheet.
To construct the roof of a house, an architect must determine the measures of the support beams of the roof.
Metric Relations Practice Name : 1 To construct the roof of a house, an architect must determine the measures of the support beams of the roof. m = 6 m m = 8 m m = 10 m What is the length of segment F?
Verifying Properties of Quadrilaterals
Verifing roperties of uadrilaterals We can use the tools we have developed to find, classif, or verif properties of various shapes made b plotting coordinates on a Cartesian plane. Depending on the problem,
Applications. 12 The Shapes of Algebra. 1. a. Write an equation that relates the coordinates x and y for points on the circle.
Applications 1. a. Write an equation that relates the coordinates and for points on the circle. 1 8 (, ) 1 8 O 8 1 8 1 (13, 0) b. Find the missing coordinates for each of these points on the circle. If
Geometry: A Complete Course
eometry: omplete ourse with rigonometry) odule - tudent Worket Written by: homas. lark Larry. ollins 4/2010 or ercises 20 22, use the diagram below. 20. ssume is a rectangle. a) f is 6, find. b) f is,
Diagnostic Assessment Number and Quantitative Reasoning
Number and Quantitative Reasoning Select the best answer.. Which list contains the first four multiples of 3? A 3, 30, 300, 3000 B 3, 6, 9, 22 C 3, 4, 5, 6 D 3, 26, 39, 52 2. Which pair of numbers has
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
Triangles. Exercise 4.1
4 Question. xercise 4. Fill in the blanks using the correct word given in brackets. (i) ll circles are....(congruent, similar) (ii) ll squares are....(similar, congruent) (iii) ll... triangles are similar.
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)
Riding a Ferris Wheel
Lesson.1 Skills Practice Name ate iding a Ferris Wheel Introduction to ircles Vocabulary Identify an instance of each term in the diagram. 1. center of the circle 6. central angle T H I 2. chord 7. inscribed