Inside Out. Triangle Sum, Exterior Angle, and Exterior Angle Inequality Theorems. Lesson 3.1 Assignment
|
|
|
- Garry Gardner
- 6 years ago
- Views:
Transcription
1 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 all your work. P 21 5 B U 62 M Chapter Assignments 4
2 Lesson.1 Assignment page 2 2. In the figure shown, AB is parallel to DE. Determine the measure of each missing angle in the figure. B D A E. You are building a triangular play area for your new puppy. You decide that the play area will have angle measures of 508 and 408 as shown a. Which side of the play area is the longest? b. Which side of the play area is the shortest? 44 Chapter Assignments
3 Lesson.1 Assignment page Name Date c. Explain how you determined your answers in parts (a) and (b). Solve for x (5x 1 ) 5. x (2x + 5 ) (8x + 5 ) (9x 7 ) Chapter Assignments 45
4 Lesson.1 Assignment page 4 6. Use the figure shown to write a paragraph proof of the Exterior Angle Inequality Theorem. P S R Q Given: Triangle PQR with exterior angle PRS Prove: m PRS > m P and m PRS > m Q 46 Chapter Assignments
5 Lesson.2 Assignment Name Date Trade Routes and Pasta Anyone? The Triangle Inequality Theorem 1. You are building a triangular pen for baby ducks. The sides of the pen will be made from lumber you have left from other projects. You have two 12-foot boards, one 14-foot board, one 8-foot board, one 4-foot board, one -foot board, and one 2-foot board. Use this information to answer parts (a) through (f). a. Suppose you choose the 14-foot board and the 4-foot board. Of the boards you have left over, what is the longest board that can be used for the third side of the pen? Explain. b. Suppose you choose a 12-foot board and the 8-foot board. Of the boards you have left over, what is the shortest board that can be used for the third side of the pen? Explain. c. Suppose you choose a 12-foot board and the 4-foot board. Of the boards you have left over, which board(s) can be used for the third side of the pen? Explain. Chapter Assignments 47
6 Lesson.2 Assignment page 2 d. How many different triangular pens can be formed using the 4-foot board? List the side lengths of each possible triangular pen. e. If you only have three boards and their lengths are 5 feet, 8 feet, and 4 feet, can you form a triangular pen? Explain. f. Suppose you decide to build a pen with side lengths of 14 feet, 12 feet, and 8 feet as shown. Which angle has the greatest measure? Which angle has the least measure? Explain. 8 ft 12 ft 14 ft List the angles and sides of each triangle in order from least to greatest. Do not measure the angles or sides. 2. D 16 cm 21 cm B 7 cm C 48 Chapter Assignments
7 Lesson.2 Assignment page Name Date. Q P 6 57 R 4. Triangle ABC with the following: m A 5 27, m B 5 119, and m C Triangle RST with the following: RS 5 8 centimeters, ST 5 20 centimeters, and RT 5 14 centimeters Determine whether it is possible to form a triangle using segments with the following measurements. Explain inches, 21 inches, 7 inches feet, 10 feet, 18 feet millimeters, 7.2 millimeters, 5.1 millimeters Chapter Assignments 49
8 50 Chapter Assignments
9 Lesson. Assignment Name Date Stamps Around the World Properties of a Triangle 1. The legs of the isosceles triangle each measure 14 inches. Calculate the length of the hypotenuse. 14 in. 45 c 14 in Calculate the value of c. c ft ft. The perimeter of the square is 2 centimeters. Calculate the length of its diagonal. 4. Calculate the value of a m a a Chapter Assignments 51
10 Lesson. Assignment page 2 5. The length of a diagonal of the square is 6 centimeters. Calculate the length of each side. 6 cm 6. The length of a diagonal of the square is 12 centimeters. Calculate the area. 12 cm 7. Calculate the area of the figure shown using the information given. The figure is composed of a triangle and a semicircle. Use.14 for. 12 cm 12 cm 8. The length of a diagonal of the square in the figure shown is 60 inches. Calculate the perimeter of the figure. The figure is composed of a square and a semicircle. 60 in. 52 Chapter Assignments
11 Lesson.4 Assignment Name Date More Stamps, Really? Properties of a 0 90 Triangle 1. The length of the hypotenuse in the 0º260º290º triangle shown is 28 meters. Calculate the lengths of sides a and b. a 28 m b 0 2. The length of the side opposite the 0-degree angle is 5 feet. Calculate the lengths of sides b and c. b 0 c 5 ft. The length of the side opposite the 60-degree angle is 8 millimeters. Calculate the lengths of sides a and c. a c 8 mm 0 Chapter Assignments 5
12 Lesson.4 Assignment page 2 4. A broadcast antenna is situated on top of a tower. The signal travels from the antenna to your house so you can watch TV. The angle of elevation from your house to the tower measures 0 degrees, and the distance from your house to the tower is 500 feet. Calculate the height of the tower and the distance the signal travels. Antenna 500 ft 0 House 5. The length of the longer leg in the 0º260º290º triangle shown is 22 miles. Calculate the length of the hypotenuse miles 6. The length of the shorter leg in the 0º260º290º triangle shown is 1 meters. Calculate the length of the hypotenuse. 1 m 0 54 Chapter Assignments
13 Lesson.4 Assignment page Name Date 7. Calculate the perimeter of the trapezoid. 6 cm 14 cm 8. Calculate the area of the triangle. 20 cm 9. Calculate the area of the trapezoid. 6 cm 8 cm 45 Chapter Assignments 55
14 Lesson.4 Assignment page A broadcast antenna is situated on top of a tower, and the signal travels from the antenna to your house so that you can watch TV. The angle of elevation from your house to the tower measures 0 degrees, and the distance from your house to the tower is 775 feet. Calculate the height of the tower and the distance the signal travels. Antenna a c 775 ft 0 House 56 Chapter Assignments
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
Assignment. Get Radical or (Be) 2! Radicals and the Pythagorean Theorem. Simplify the radical expression. 45x 3 y 7
Assignment Assignment for Lesson.1 Name Date Get Radical or (Be) 2! Radicals and the Pythagorean Theorem Simplify the radical expression. 1. 60 2. 108. 28x 5 4. 45x y 7 5. 1 49 6. 7. 6 8. 2 12 9. A plane
Find the side length of each square tile. Use a complete sentence to explain how you found your answer cm 2
Assignment Assignment for Lesson.1 Name Date Tiling a Bathroom Wall Simplifying Square Root Expressions Find the side length of each square tile. Use a complete sentence to explain how you found your answer.
Skills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson.1 Name Date Get Radical or (Be)! Radicals and the Pythagorean Theorem Vocabulary Write the term that best completes each statement. 1. An expression that includes
Unit 4-Review. Part 1- Triangle Theorems and Rules
Unit 4-Review - Triangle Theorems and Rules Name of Theorem or relationship In words/ Symbols Diagrams/ Hints/ Techniques 1. Side angle relationship 2. Triangle inequality Theorem 3. Pythagorean Theorem
Right Triangles
30 60 90 Right Triangles The 30-60 -90 triangle is another special triangle. Like the 45-45 -90 triangle, properties of the 30-60 -90 triangle can be used to find missing measures of a triangle if the
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
GEOMETRY Teacher: Mrs. Flynn Topic: Similarity. Teacher: Mrs. Flynn Topic: Similarity
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
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
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
Remember, you may not use a calculator when you take the assessment test.
Elementary Algebra problems you can use for practice. Remember, you may not use a calculator when you take the assessment test. Use these problems to help you get up to speed. Perform the indicated operation.
Chapter. Triangles. Copyright Cengage Learning. All rights reserved.
Chapter 3 Triangles Copyright Cengage Learning. All rights reserved. 3.5 Inequalities in a Triangle Copyright Cengage Learning. All rights reserved. Inequalities in a Triangle Important inequality relationships
LT 2.1 Study Guide and Intervention Classifying Triangles
LT 2.1 Study Guide and Intervention Classifying Triangles Classify Triangles by Angles One way to classify a triangle is by the measures of its angles. If all three of the angles of a triangle are acute
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
8-2 The Pythagorean Theorem and Its Converse. Find x. 27. SOLUTION: The triangle with the side lengths 9, 12, and x form a right triangle.
Find x. 27. The triangle with the side lengths 9, 12, and x form a right triangle. In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
Assignment Assigned Date Due Date Grade 6.7 Worksheet
Geometry Unit 6: Packet 2 CIRCLES This is a packet containing the homework and some classwork for the second half of unit 6. You will turn in completed assignments by their designated due date. If you
7.3 Triangle Inequalities
Name lass Date 7.3 Triangle Inequalities Essential Question: How can you use inequalities to describe the relationships among side lengths and angle measures in a triangle? Eplore G.5.D Verify the Triangle
2nd 9 Weeks Test 2. Rankin County Assessment CCSS Math 8th Grade ID: Sample Item Not Available
Rankin County Assessment CCSS Math 8th Grade ID: 201585 2nd 9 Weeks Test 2 Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer sheet. Sample Question
A. 180 B. 108 C. 360 D. 540
Part I - Multiple Choice - Circle your answer: 1. Find the area of the shaded sector. Q O 8 P A. 2 π B. 4 π C. 8 π D. 16 π 2. An octagon has sides. A. five B. six C. eight D. ten 3. The sum of the interior
Geometry Warm Up Right Triangles Day 8 Date
Geometry Warm Up Right Triangles Day 8 Name Date Questions 1 4: Use the following diagram. Round decimals to the nearest tenth. P r q Q p R 1. If PR = 12 and m R = 19, find p. 2. If m P = 58 and r = 5,
Lost Our Noodles! Triangle Exploration
Any three lengths will form a triangle. Lost Our Noodles! Triangle Exploration 1. Is this statement (Circle your answer.) 2. With your partner, measure each of the triangles (round to the nearest tenth)
Geometry Chapter 7 7-4: SPECIAL RIGHT TRIANGLES
Geometry Chapter 7 7-4: SPECIAL RIGHT TRIANGLES Warm-Up Simplify the following. 1.) 10 30 2.) 45 5 3.) 88 8 4.) 3 27 Special Right Triangles Objective: Students will be able to use the relationships amongst
Accelerated Math 7 Second Semester Final Practice Test
Accelerated Math 7 Second Semester Final Practice Test Name Period Date Part 1 Learning Target 5: I can solve problems applying scale factor to geometric figures or scale drawings. 1. What is the value
a. 1 b. i c. 1-2i d. i e. NOTA
Theta Individual State Convention 017 1. 15 1 16 15 i i i i i =? a. 1 b. i c. 1- i d. i e. NOTA. Mr. Lu has $.7 in pennies, nickels, dimes, quarters and half dollars. If he has an equal number of coins
The Theorem of Pythagoras
CONDENSED LESSON 9.1 The Theorem of Pythagoras In this lesson you will Learn about the Pythagorean Theorem, which states the relationship between the lengths of the legs and the length of the hypotenuse
Show all work for full credit. Do NOT use trig to solve special right triangle problems (half credit).
Chapter 8 Retake Review 1 The length of the hypotenuse of a 30 60 90 triangle is 4. Find the perimeter. 2 What similarity statement can you write relating the three triangles in the diagram? 5 Find the
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
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
1.) Determine whether the following numbers could be the sides of a right triangle. Show your work.
4Unit 2 review Version 1 Name: Date: 1.) Determine whether the following numbers could be the sides of a right triangle. Show your work. a. 7, 25, 19 b. 17, 15, 8 2.) What is the approximate length of
b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem
Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals
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
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:
Geometric Formulas (page 474) Name
LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:
8 th grade practice test. Objective 1.1a
8 th grade practice test Objective 1.1a 1. Stacey earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equation can she use to find x the number
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
Multiplying and Dividing Rational Expressions y y v 2 3 v 2-13v x z 25 x. n - 6 n 2-6n. 6x + 2 x 2. w y a 3 w.
8- Multiplying and Dividing Rational Epressions Simplify each epression.. 9 a b 7 a b c. ( m n ) -8 m 5 n. 0 y + 5y 5 y - 5y. k - k - 5 k - 9 5. 5 - v v - v - 0. + - - 7. - u y 5 z 5 5 u y 8. a + y y +
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,
GEOMETRY & MEASUREMENT
GEOMETRY & MESUREMENT 1 1. The measure for a stud for a wall must be 72. Which of the following studs is allowed? 4 a. 72.7 in b. 72.31 in c. 71.81 in d. 71.2 in 2. t a bolt manufacturing company, 6 bolts
PRACTICE TEST 1 Math Level IC
SOLID VOLUME OTHER REFERENCE DATA Right circular cone L = cl V = volume L = lateral area r = radius c = circumference of base h = height l = slant height Sphere S = 4 r 2 V = volume r = radius S = surface
~ 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
KCATM Geometry Group Test
KCATM Geometry Group Test Group name Choose the best answer from A, B, C, or D 1. A pole-vaulter uses a 15-foot-long pole. She grips the pole so that the segment below her left hand is twice the length
221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM
Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked
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
Vocabulary. Term Page Definition Clarifying Example altitude of a triangle. centroid of a triangle. circumcenter of a triangle. circumscribed circle
CHAPTER Vocabulary The table contains important vocabulary terms from Chapter. As you work through the chapter, fill in the page number, definition, and a clarifying eample. Term Page Definition Clarifying
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
2005 Palm Harbor February Invitational Geometry Answer Key
005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.
Applying the Pythagorean Theorem
Applying the Pythagorean Theorem Laura Swenson, (LSwenson) Joy Sheng, (JSheng) Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this
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
Block 2 ~ The Pythagorean Theorem Self-Assessment. Progress (shade this in) Name Per. Track your understanding. Lesson #
Block 2 ~ The Pythagorean Theorem Self-Assessment Track your understanding. Lesson # 2.1 2.2 2.3 2. 2. 2.7 Target I can recognize and find the values of perfect squares. I can estimate the value of square
The Top 11 Keystones of Algebra 1
The Top 11 Keystones of Algebra 1 The Top Eleven Keystones of Algebra 1 You should be able to 1) Simplify a radical expression. 2) Solve an equation. 3) Solve and graph an inequality on a number line.
Trigonometric ratios:
0 Trigonometric ratios: The six trigonometric ratios of A are: Sine Cosine Tangent sin A = opposite leg hypotenuse adjacent leg cos A = hypotenuse tan A = opposite adjacent leg leg and their inverses:
New Rochelle High School Geometry Summer Assignment
NAME - New Rochelle High School Geometry Summer Assignment To all Geometry students, This assignment will help you refresh some of the necessary math skills you will need to be successful in Geometry and
Math 46 Final Exam Review Packet
Math 46 Final Exam Review Packet Question 1. Perform the indicated operation. Simplify if possible. 7 x x 2 2x + 3 2 x Question 2. The sum of a number and its square is 72. Find the number. Question 3.
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
Chapter 7 Sect. 2. A pythagorean triple is a set of three nonzero whole numbers a, b, and c, that satisfy the equation a 2 + b 2 = c 2.
Chapter 7 Sect. 2 The well-known right triangle relationship called the Pythagorean Theorem is named for Pythagoras, a Greek mathematician who lived in the sixth century b.c. We now know that the Babylonians,
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
Find the geometric mean between 9 and 13. Find the geometric mean between
Five-Minute Check (over Lesson 8 1) CCSS Then/Now New Vocabulary Theorem 8.4: Pythagorean Theorem Proof: Pythagorean Theorem Example 1: Find Missing Measures Using the Pythagorean Theorem Key Concept:
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
(A) 20% (B) 25% (C) 30% (D) % (E) 50%
ACT 2017 Name Date 1. The population of Green Valley, the largest suburb of Happyville, is 50% of the rest of the population of Happyville. The population of Green Valley is what percent of the entire
9-7. a: Solutions vary. Possible solution shown at right. b: Answers vary. Assuming there are no hidden cubes, V = 11 units 3.
Lesson 9.1.1 9-7. a: Solutions vary. Possible solution shown at right. b: Answers vary. Assuming there are no hidden cubes, V = 11 units 0 0 1 1 1 1 9-8. a: 4 5 b: 196:1 c: 9:1 9-9. Since the perimeter
MATH CIRCLE Session # 2, 9/29/2018
MATH CIRCLE Session # 2, 9/29/2018 SOLUTIONS 1. The n-queens Problem. You do NOT need to know how to play chess to work this problem! This is a classical problem; to look it up today on the internet would
LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON
Trig/Math Anal Name No LATE AND ABSENT HOMEWORK IS ACCEPTED UP TO THE TIME OF THE CHAPTER TEST ON HW NO. SECTIONS ASSIGNMENT DUE FS-1 4-4 Practice Set A #1-57 eoo 4-5 Practice Set B #1-45 eoo, 57, 59 FS-
resources Symbols < is less than > is greater than is less than or equal to is greater than or equal to = is equal to is not equal to
Symbols < is less than > is greater than is less than or equal to is greater than or equal to resources = is equal to is not equal to is approximately equal to similar a absolute value: = ; - = (x, y)
Warm Up Lesson Presentation Lesson Quiz. Holt McDougal Geometry
5-5 Indirect Proof and and Inequalities in in One One Triangle Warm Up Lesson Presentation Lesson Quiz Geometry Warm Up 1. Write a conditional from the sentence An isosceles triangle has two congruent
Unit 10 Geometry Circles. NAME Period
Unit 10 Geometry Circles NAME Period 1 Geometry Chapter 10 Circles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (10-1) Circles and Circumference
MATH MATH.
A = πr 2 A = πr 2 www.bloggymomma.com www.bloggymomma.com Liquid Equivalents 8 fluid ounces (fl.oz.) = 1 cup (c.) 2 cups (c.) = 1 pint (pt.) 2 pints (pt.) = 1 quart (qt.) 4 quarts (qt.) = 1 gallon (gal.)
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
Replacement for a Carpenter s Square
Lesson.1 Skills Practice Name Date Replacement for a arpenter s Square Inscribed and ircumscribed Triangles and Quadrilaterals Vocabulary nswer each question. 1. How are inscribed polygons and circumscribed
Determine whether the given lengths can be side lengths of a right triangle. 1. 6, 7, , 15, , 4, 5
Algebra Test Review Name Instructor Hr/Blk Determine whether the given lengths can be side lengths of a right triangle. 1., 7, 8. 17, 1, 8.,, For the values given, a and b are legs of a right triangle.
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
1 Math 116 Supplemental Textbook (Pythagorean Theorem)
1 Math 116 Supplemental Textbook (Pythagorean Theorem) 1.1 Pythagorean Theorem 1.1.1 Right Triangles Before we begin to study the Pythagorean Theorem, let s discuss some facts about right triangles. The
Section 5.1. Perimeter and Area
Section 5.1 Perimeter and Area Perimeter and Area The perimeter of a closed plane figure is the distance around the figure. The area of a closed plane figure is the number of non-overlapping squares of
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
5.5 Inequalities in Triangles
5.5 Inequalities in Triangles Learning Objectives Determine relationships among the angles and sides of a triangle. Understand the Triangle Inequality Theorem. Understand the Hinge Theorem and its converse.
Concepts. Materials. Objective
. Activity 10 From a Distance... You Can See It! Teacher Notes Concepts Midpoint between two points Distance between two points Pythagorean Theorem Calculator Skills Entering fractions: N Setting decimal
How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots
. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,
ACT Test Prep. Name: Class: Date: Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: ID: A ACT Test Prep Multiple Choice Identify the choice that best completes the statement or answers the question.. 80 is % of what number? 8 d. 00 0 0. Solve ( 8 x) = 6x +. d.. The
Kansas City Area Teachers of Mathematics 2012 KCATM Math Competition
Kansas City Area Teachers of Mathematics 2012 KCATM Math Competition GEOMETRY AND MEASUREMENT TEST GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may
Evaluations with Positive and Negative Numbers (page 631)
LESSON Name 91 Evaluations with Positive and Negative Numbers (page 631) When evaluating expressions with negative numbers, use parentheses to help prevent making mistakes with signs. Example: Evaluate
3, 5, Inequalities in One Triangle. Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition.
Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. 7. HANG GLIDING The supports on a hang glider form triangles like the one shown. Which is longer the
Algebra 1 Pre-Comp Review Packet Algebra 1 Pre-Comp Information
Name: Algebra 1 Pre-Comp Review Packet 017 1. If you can do everything in this packet, then you will do wonderfully on the pre-comp. Each day in class we will take a mini quiz. For each question you get
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section
Pre-Algebra Unit 8 Practice Test: Ratios, Rates, & Proportions Answer Section MULTIPLE CHOICE 1. ANS: B PTS: 1 DIF: L2 REF: -1 Ratios and Unit Rates STA: CA 7.MG.1.1 CA 7.MG.1.3 CA 7.AF.4.2 TOP: -1 Example
Using the distance formula Using formulas to solve unknowns. Pythagorean Theorem. Finding Legs of Right Triangles
Math 154 Chapter 9.6: Applications of Radical Equations Objectives: Finding legs of right triangles Finding hypotenuse of right triangles Solve application problems involving right triangles Pythagorean
Geometry Right Triangles and Trigonometry
Geometry Right Triangles and Trigonometry Day Date lass Homework Th 2/16 F 2/17 N: Special Right Triangles & Pythagorean Theorem Right Triangle & Pythagorean Theorem Practice Mid-Winter reak WKS: Special
My Math Plan Assessment #1 Study Guide
My Math Plan Assessment #1 Study Guide 1. Find the x-intercept and the y-intercept of the linear equation. 8x y = 4. Use factoring to solve the quadratic equation. x + 9x + 1 = 17. Find the difference.
Name: Class: Date: Use a trigonometric ratio to determine the value of x. Round your answer to the nearest tenth.
Class: Date: Ch 9 Questions 1. Use a trigonometric ratio to determine the value of x. Round your answer to the nearest tenth. 2. 3. 4. Estimate m X to the nearest degree. 5. Katie and Matt are both flying
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.
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
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.
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
Level 1: Simplifying (Reducing) Radicals: 1 1 = 1 = 2 2 = 4 = 3 3 = 9 = 4 4 = 16 = 5 5 = 25 = 6 6 = 36 = 7 7 = 49 =
Name Period Date Unit 5:Special Right Triangles and TrigonometryNotes Packet #1 Section 7.2/7.3: Radicals, Pythagorean Theorem, Special Right Triangles (PA) CRS NCP 24-27 Work with squares and square roots
Shape Booster 6 Similar Shapes
Shape Booster 6 Similar Shapes Check: 85T) The two triangles are similar. 5cm y x 37.8cm 8cm 43.2cm a) Work out the size of x. b) Work out the size of y. a) x = 27cm b) y = 7cm Learn: Maths Watch Reference
During: The Pythagorean Theorem and Its converse
Before: November 1st As a warm-up, let's do the Challenge Problems from the 5.1-5.4 Quiz Yesterday 1. In Triangle ABC, centroid D is on median AM. AD = x - 3 and DM = 3x - 6. Find AM. 2. In Triangle ABC,
8-6. a: 110 b: 70 c: 48 d: a: no b: yes c: no d: yes e: no f: yes g: yes h: no
Lesson 8.1.1 8-6. a: 110 b: 70 c: 48 d: 108 8-7. a: no b: yes c: no d: yes e: no f: yes g: yes h: no 8-8. b: The measure of an exterior angle of a triangle equals the sum of the measures of its remote
Chapter 1 Line and Angle Relationships
Chapter 1 Line and Angle Relationships SECTION 1.1: Sets, Statements, and Reasoning 1. a. Not a statement. b. Statement; true c. Statement; true d. Statement; false 5. Conditional 9. Simple 13. H: The
Classwork 8.1. Perform the indicated operation and simplify each as much as possible. 1) 24 2) ) 54w y 11) wy 6) 5 9.
- 7 - Classwork 8.1 Name Perform the indicated operation and simplify each as much as possible. 1) 4 7) 16+ 5 49 ) 5 4 8) 11 6 81 ) 5 4x 9) 9 x + 49x 4) 75w 10) 6 5 54w y 5) 80wy 11) 15 6 6) 5 9 1) 15x
Unit 2, Lesson 3: More about Constant of Proportionality
Unit 2, Lesson 3: More about Constant of Proportionality Let s solve more problems involving proportional relationships using tables. 3.1: Equal Measures Use the numbers and units from the list to find
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
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