Geometry: Chapter 7. Name: Class: Date: 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places.
|
|
- Todd Burke
- 6 years ago
- Views:
Transcription
1 Name: Class: Date: Geometry: Chapter 7 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. a c b d ABC is a right triangle. AB = _. a c. 3 5 b. 3 6 d If a, b, and c are sides of a right triangle, which of the following are also sides of a right triangle? a. The square root of each length ( a, b, c ) b. Twice the length of each side (2a, 2b, 2c) c. Four more than each length (a + 4, b + 4, c + 4) d. The square of each length 4. Which of the following sets of numbers is a Pythagorean triple? 1 a. 3, 4, 5 c. 3, 1 4, 1 5 b. 12, 16, 20 d. 3 2, 4 2, A set of Pythagorean triples is _. a. 3, 5, 9 c. 6, 9, 12 b. 1, 1, 2 d. 5, 12, 13 1
2 Name: 6. A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is x feet from the house. Find the value of x to one decimal place. a. 1.9 b. 7.0 c. 8.3 d GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. A power pole broke and fell as shown. To the nearest tenth of a meter, what was the original height of the pole? 8. Which set of lengths cannot form a right triangle? a. 6 mm, 12 mm, 13 mm c. 2.5 mm, 6 mm, 6.5 mm b. 5 mm, 12 mm, 13 mm d. 10 mm, 24 mm, 26 mm 9. If the side lengths of a triangle are 7, 6, and 9, the triangle _. a. is an obtuse triangle c. is an acute triangle b. is a right triangle d. cannot be formed 10. A ship in calm seas steamed 12 km in one direction, turned and steamed 12 km in another direction, and then returned 8 km back to its original position. The captain then plotted the ship's course on a nautical chart. She asked her first officer to look at the chart and describe the ship's path. Did the first officer describe it as an acute, obtuse, or right triangle? Then the second officer said she could further identify whether the path was scalene, isosceles, or equilateral. What did she determine? a. acute; scalene c. acute; isosceles b. acute; equilateral d. obtuse; scalene 2
3 Name: 11. Mark went for a mountain-bike ride in a relatively flat, wooded area. He rode for 7 km in one direction, then turned and peddled 5 km in another. Finally he turned and rode 7 km in yet another direction. Stopping, Mark took out a map and drew his path. Could Mark be back at his starting point? Could his path be a right triangle? a. Yes; Yes c. No; Yes b. No; No d. Yes; No 12. Choose the set that is the possible side lengths of a right triangle. a. 1, 1, 2 c. 3, 4, 7 b. 1, 1, 2 d. 3, 5, Choose the set that is the possible side lengths of a right triangle. a. 4, 9, 13 c. 1, 1, 2 b. 2, 2, 2 d. 8, 15, GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. The diagonals of a picture frame do not have the same length because its loose joints are not forming right angles. To make the corners of the picture frame form right angles, a wire is fastened to one corner of the frame on the longer diagonal. Then it is drawn across to the opposite corner and tightened until the frame is rectangular. The frame is supposed to be 16 inches wide and 36 inches tall. To the nearest hundredth of an inch, how long is the diagonal of the frame when its corners are square? 15. A triangle has side lengths of 7, 9, and 11. Decide whether it is an acute, right, or obtuse triangle. 16. Find a, b, and h. 17. Find the length of the altitude drawn to the hypotenuse. 18. In a triangle, the ratio of the length of the hypotenuse to the length of a side is _. a. 1:1 b. 3:1 c. 2:1 d. 2:1 3
4 Name: 19. Which of the following cannot be the lengths of a triangle? 21 a. 13, 42 13, 21 3 c. 27, 54, b. 23, 46, 46 3 d. 6, 12, An equilateral triangle has side lengths of 10. The length of its altitude is _. a b. 5 c d In a triangle, the ratio of the length of the hypotenuse to the length of the shorter side is _. a. 2: 3 b. 2:1 c. 2:1 d. 3:1 22. A photographer shines a camera light at a particular painting forming an angle of 40 with the camera platform. If the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting? a ft b ft c ft d ft 23. A tree 19 feet tall casts a shadow which forms an angle of 49 with the ground. How long is the shadow to the nearest hundredth? 24. Write cos B. a b c d
5 Name: 25. Use your calculator to find cos 23. a. about c. about 1.07 b. about d. about To find the height of a tower, a surveyor positions a transit that is 2 meters tall at a spot 95 meters from the base of the tower. She measures the angle of elevation to the top of the tower to be 32. What is the height of the tower, to the nearest meter? a. 154 m b. 59 m c. 61 m d. 152 m 27. Liola drives 16 km up a hill that is at a grade of 10 o. What horizontal distance, to the nearest tenth of kilometer, has she covered? a km b km c km d km 28. What is x to the nearest hundredth? (not drawn to scale) a. x = b. x = c. x = d. x = Find tan B for the right triangle below: a b c d Find the missing angle and side measures of ABC, given that m A = 65, m C = 90, and CB = 15. a. m B = 25, c = 16.6, b = 7 b. m B = 155, c = 16.6, b = 7.5 c. m B = 155, c = 16.6, b = 7 d. m B = 25, c = 16.1, b = Two legs of a right triangle have lengths 15 and 8. The measure of the smaller acute angle is _. a b. 17 c d
6 Name: 32. Which of the following is NOT enough information to solve a right triangle? a. Two sides b. One side length and one trigonometric ratio c. Two angles d. One side length and one acute angle measure 33. Assume that A is an acute angle. If sin A = , find tan A to four decimal places. (Use your calculator.) 34. An antenna is atop the roof of a 100-foot building, 10 feet from the edge, as shown in the figure below. From a point 50 feet from the base of the building, the angle from ground level to the top of the antenna is 66. Find x, the height of the antenna, to the nearest foot. Find the measure of an acute angle that satisfies the given equation. Round your answers to the nearest tenth of a degree. 35. cos Z =
7 Geometry: Chapter 7 Answer Section 1. ANS: A PTS: 1 DIF: Level A REF: MLGE0378 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: Pythagorean Theorem right triangles 2. ANS: A PTS: 1 DIF: Level B REF: HLGM0696 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: right triangles Pythagorean Theorem 3. ANS: B PTS: 1 DIF: Level B REF: HLGM0707 NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH G2.3.3 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: right triangles Pythagorean Theorem 4. ANS: B PTS: 1 DIF: Level B REF: MLGE0158 STA: MI.MIGLC.MTH G1.2.3 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: Pythagorean triples Pythagorean Theorem 5. ANS: D PTS: 1 DIF: Level B REF: HLGM0701 STA: MI.MIGLC.MTH G1.2.3 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: Pythagorean triples Pythagorean Theorem 6. ANS: C PTS: 1 DIF: Level A REF: HLGM0704 NAT: NCTM 9-12.PRS.2 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: right triangles Pythagorean Theorem BLM: Application 7. ANS: 20.0 PTS: 1 DIF: Level A REF: MC NAT: NCTM 9-12.PRS.2 NCTM 9-12.REP.1 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH L2.3.2 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 TOP: Lesson 7.1 Apply the Pythagorean Theorem KEY: word right triangles Pythagorean Theorem 8. ANS: A PTS: 1 DIF: Level B REF: DITT0026 STA: MI.MIGLC.MTH G1.2.3 KEY: right triangles Pythagorean Theorem converse 1
8 9. ANS: C PTS: 1 DIF: Level B REF: HLGM0713 STA: MI.MIGLC.MTH G1.2.2 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: classifying triangles 10. ANS: C PTS: 1 DIF: Level B REF: BMGM0291 STA: MI.MIGLC.MTH G1.2.2 KEY: word classifying triangles 11. ANS: D PTS: 1 DIF: Level B REF: MGEO0020 NCTM 9-12.PRS.2 STA: MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: word classifying triangles right triangles BLM: Comprehension 12. ANS: B PTS: 1 DIF: Level B REF: MLGE0156 STA: MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: right triangles Pythagorean Theorem converse 13. ANS: B PTS: 1 DIF: Level B REF: MLGE0157 STA: MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: right triangles sides Pythagorean Theorem converse 14. ANS: PTS: 1 DIF: Level B REF: MC NAT: NCTM 9-12.REP.1 NCTM 9-12.PRS.2 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH L2.3.2 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: word right triangles Pythagorean Theorem 15. ANS: It is an acute triangle. PTS: 1 DIF: Level B REF: HLGM0714 STA: MI.MIGLC.MTH G1.2.2 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 KEY: classifying triangles 2
9 16. ANS: a = 12, b = 24 2, h = 8 2 PTS: 1 DIF: Level B REF: SXAM0042 NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 TOP: Lesson 7.3 Use Similar Right Triangles KEY: similar right triangles geometric mean 17. ANS: 6 PTS: 1 DIF: Level B REF: BMGM0300 TOP: Lesson 7.3 Use Similar Right Triangles KEY: similar right triangles geometric mean 18. ANS: C PTS: 1 DIF: Level A REF: HLGM0728 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.4 TOP: Lesson 7.4 Special Right Triangles KEY: special right triangles triangle 19. ANS: B PTS: 1 DIF: Level B REF: PHGM0523 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.4 TOP: Lesson 7.4 Special Right Triangles KEY: special right triangles triangle 20. ANS: D PTS: 1 DIF: Level B REF: HLGM0725 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH A3.7.3 MI.MIGLC.MTH G1.2.4 MI.MIGLC.MTH G1.2.5 MI.MIGLC.MTH G1.3.1 MI.MIGLC.MTH G1.3.3 TOP: Lesson 7.4 Special Right Triangles KEY: equilateral triangle altitude triangle BLM: Comprehension 21. ANS: C PTS: 1 DIF: Level B REF: HLGM0729 STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.4 TOP: Lesson 7.4 Special Right Triangles KEY: triangle 22. ANS: B PTS: 1 DIF: Level B REF: PMG80819 NAT: NCTM 9-12.GEO.1.d NCTM 9-12.PRS.2 TOP: Lesson 7.5 Apply the Tangent Ratio KEY: word tangent ratio BLM: Application 3
10 23. ANS: ft PTS: 1 DIF: Level A REF: PMG80820 NAT: NCTM 9-12.PRS.2 NCTM 9-12.GEO.1.d TOP: Lesson 7.5 Apply the Tangent Ratio KEY: word tangent ratio BLM: Application 24. ANS: B PTS: 1 DIF: Level A REF: MHGM0136 KEY: sine and cosine ratios trigonometric ratios 25. ANS: A PTS: 1 DIF: Level A REF: HLGM0741 NAT: NCTM 9-12.NOP.3.a KEY: sine and cosine ratios calculator 26. ANS: C PTS: 1 DIF: Level B REF: MHGM0095 NAT: NCTM 9-12.GEO.1.d NCTM 9-12.PRS.2 KEY: word trigonometric ratios sine and cosine ratios tangent ratio BLM: Application 27. ANS: C PTS: 1 DIF: Level A REF: PHGM1134 NAT: NCTM 9-12.GEO.1.d NCTM 9-12.PRS.2 KEY: word trigonometric ratios sine and cosine ratios 28. ANS: D PTS: 1 DIF: Level A REF: MLGE0381 NAT: NCTM 9-12.GEO.1.d KEY: sine and cosine ratios 29. ANS: D PTS: 1 DIF: Level B REF: XEA21403 KEY: trigonometric ratios sine and cosine ratios tangent ratio 30. ANS: A PTS: 1 DIF: Level B REF: MHA10127 NAT: NCTM 9-12.GEO.1.d STA: MI.MIGLC.MTH G1.2.1 MI.MIGLC.MTH G1.2.2 MI.MIGLC.MTH G1.3.1 MI.MIGLC.MTH G1.3.3 TOP: Lesson 7.7 Solve Right Triangles KEY: solving right triangles sine and cosine ratios 4
11 31. ANS: D PTS: 1 DIF: Level B REF: HLGM0749 NAT: NCTM 9-12.GEO.1.d TOP: Lesson 7.7 Solve Right Triangles KEY: solving right triangles 32. ANS: C PTS: 1 DIF: Level B REF: HLGM0752 TOP: Lesson 7.7 Solve Right Triangles KEY: solving right triangles BLM: Comprehension 33. ANS: PTS: 1 DIF: Level B REF: HLGM0744 NAT: NCTM 9-12.NOP.3.a NCTM 9-12.GEO.1.d TOP: Lesson 7.7 Solve Right Triangles KEY: inverse sine tangent ratio 34. ANS: x 35 ft PTS: 1 DIF: Level B REF: MGEO0022 NAT: NCTM 9-12.GEO.1.b STA: MI.MIGLC.MTH L1.1.6 MI.MIGLC.MTH G1.2.3 MI.MIGLC.MTH G1.3.1 MI.MIGLC.MTH G2.3.3 MI.MIGLC.MTH G2.3.4 TOP: Lesson 7.7 Solve Right Triangles KEY: word solving right triangles similar right triangles sine and cosine ratios BLM: Application 35. ANS: m Z 67.4 PTS: 1 DIF: Level A REF: BS NAT: NCTM 9-12.GEO.1.d TOP: Lesson 7.7 Solve Right Triangles KEY: inverse cosine 5
Chapter 7 Test. 6. Choose the set that is the possible side lengths of a right triangle. a. 1, 1, 2 c. 3, 4, 7 b. 1, 3, 2 d.
Chapter 7 Test 1. How long is a string reahing from the top of a 9-ft pole to a point on the ground that is 7 ft from the ase of the pole? a. 120 ft. 42 ft. 32 ft d. 130 ft 2. A radio station is going
More informationGeometry - Final Exam Study Guide
Geometry - Final Exam Study Guide Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the values of x and y. x = 28, y = 104 x = 76, y = 56 x = 76, y
More informationGeometry Second Semester Final Exam Review
Name: Class: Date: ID: A Geometry Second Semester Final Exam Review 1. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places. 2. Find the length of the leg of this
More informationG.8 Right Triangles STUDY GUIDE
G.8 Right Triangles STUDY GUIDE Name Date Block Chapter 7 Right Triangles Review and Study Guide Things to Know (use your notes, homework, quizzes, textbook as well as flashcards at quizlet.com (http://quizlet.com/4216735/geometry-chapter-7-right-triangles-flashcardsflash-cards/)).
More informationName: Unit 8 Right Triangles and Trigonometry Unit 8 Similarity and Trigonometry. Date Target Assignment Done!
Unit 8 Similarity and Trigonometry Date Target Assignment Done! M 1-22 8.1a 8.1a Worksheet T 1-23 8.1b 8.1b Worksheet W 1-24 8.2a 8.2a Worksheet R 1-25 8.2b 8.2b Worksheet F 1-26 Quiz Quiz 8.1-8.2 M 1-29
More informationGeometry- Unit 6 Notes. Simplifying Radicals
Geometry- Unit 6 Notes Name: Review: Evaluate the following WITHOUT a calculator. a) 2 2 b) 3 2 c) 4 2 d) 5 2 e) 6 2 f) 7 2 g) 8 2 h) 9 2 i) 10 2 j) 2 2 k) ( 2) 2 l) 2 0 Simplifying Radicals n r Example
More informationGeo, Chap 8 Practice Test, EV Ver 1
Name: Class: Date: ID: A Geo, Chap 8 Practice Test, EV Ver 1 Short Answer Find the length of the missing side. Leave your answer in simplest radical form. 1. (8-1) 2. (8-1) A grid shows the positions of
More informationAssignment Guide: Chapter 8 Geometry (L3)
Assignment Guide: Chapter 8 Geometry (L3) (91) 8.1 The Pythagorean Theorem and Its Converse Page 495-497 #7-31 odd, 37-47 odd (92) 8.2 Special Right Triangles Page 503-504 #7-12, 15-20, 23-28 (93) 8.2
More informationPacket Unit 5 Right Triangles Honors Common Core Math 2 1
Packet Unit 5 Right Triangles Honors Common Core Math 2 1 Day 1 HW Find the value of each trigonometric ratio. Write the ratios for sinp, cosp, and tanp. Remember to simplify! 9. 10. 11. Packet Unit 5
More informationGeometry SIA #3. Name: Class: Date: Short Answer. 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1).
Name: Class: Date: ID: A Geometry SIA #3 Short Answer 1. Find the perimeter of parallelogram ABCD with vertices A( 2, 2), B(4, 2), C( 6, 1), and D(0, 1). 2. If the perimeter of a square is 72 inches, what
More information(13) Page #1 8, 12, 13, 15, 16, Even, 29 32, 39 44
Geometry/Trigonometry Unit 7: Right Triangle Notes Name: Date: Period: # (1) Page 430 #1 15 (2) Page 430 431 #16 23, 25 27, 29 and 31 (3) Page 437 438 #1 8, 9 19 odd (4) Page 437 439 #10 20 Even, 23, and
More informationUnit 8 Similarity and Trigonometry
Unit 8 Similarity and Trigonometry Target 8.1: Prove and apply properties of similarity in triangles using AA~, SSS~, SAS~ 8.1a Prove Triangles Similar by AA ~, SSS~, SAS~ 8.1b Use Proportionality Theorems
More information7.1/7.2 Apply the Pythagorean Theorem and its Converse
7.1/7.2 Apply the Pythagorean Theorem and its Converse Remember what we know about a right triangle: In a right triangle, the square of the length of the is equal to the sum of the squares of the lengths
More informationGeo H - Chapter 11 Review
Geo H - Chapter 11 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A circle has a circumference of 50 meters. Find its diameter. a. 12.5 m c. 7.96
More informationCh 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8-2 Special Right Triangles 8-3 The Tangent Ratio
Ch 8: Right Triangles and Trigonometry 8-1 The Pythagorean Theorem and Its Converse 8- Special Right Triangles 8-3 The Tangent Ratio 8-1: The Pythagorean Theorem and Its Converse Focused Learning Target:
More informationUNIT 9 - RIGHT TRIANGLES AND TRIG FUNCTIONS
UNIT 9 - RIGHT TRIANGLES AND TRIG FUNCTIONS Converse of the Pythagorean Theorem Objectives: SWBAT use the converse of the Pythagorean Theorem to solve problems. SWBAT use side lengths to classify triangles
More informationUnit 6: Triangle Geometry
Unit 6: Triangle Geometry Student Tracking Sheet Math 9 Principles Name: lock: What I can do for this unit: fter Practice fter Review How I id 6-1 I can recognize similar triangles using the ngle Test,
More informationObjectives: After completing this section, you should be able to do the following: Calculate the lengths of sides and angles of a right triangle using
Ch 13 - RIGHT TRIANGLE TRIGONOMETRY Objectives: After completing this section, you should be able to do the following: Calculate the lengths of sides and angles of a right triangle using trigonometric
More informationName: Class: Date: Chapter 3 - Foundations 7. Multiple Choice Identify the choice that best completes the statement or answers the question.
Name: Class: Date: Chapter 3 - Foundations 7 Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the value of tan 59, to four decimal places. a.
More informationSkills Practice Skills Practice for Lesson 7.1
Skills Practice Skills Practice for Lesson.1 Name Date Tangent Ratio Tangent Ratio, Cotangent Ratio, and Inverse Tangent Vocabulary Match each description to its corresponding term for triangle EFG. F
More informationAngles of a Triangle. Activity: Show proof that the sum of the angles of a triangle add up to Finding the third angle of a triangle
Angles of a Triangle Activity: Show proof that the sum of the angles of a triangle add up to 180 0 Finding the third angle of a triangle Pythagorean Theorem Is defined as the square of the length of the
More informationBe sure to label all answers and leave answers in exact simplified form.
Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.
More informationIntroduction to Trigonometry
NAME COMMON CORE GEOMETRY- Unit 6 Introduction to Trigonometry DATE PAGE TOPIC HOMEWORK 1/22 2-4 Lesson 1 : Incredibly Useful Ratios Homework Worksheet 1/23 5-6 LESSON 2: Using Trigonometry to find missing
More informationChapter 7. Right Triangles and Trigonometry
hapter 7 Right Triangles and Trigonometry 7.1 pply the Pythagorean Theorem 7.2 Use the onverse of the Pythagorean Theorem 7.3 Use Similar Right Triangles 7.4 Special Right Triangles 7.5 pply the Tangent
More informationName: Block: What I can do for this unit:
Unit 8: Trigonometry Student Tracking Sheet Math 10 Common Name: Block: What I can do for this unit: After Practice After Review How I Did 8-1 I can use and understand triangle similarity and the Pythagorean
More informationUnit 6 Introduction to Trigonometry
Lesson 1: Incredibly Useful Ratios Opening Exercise Unit 6 Introduction to Trigonometry Use right triangle ΔABC to answer 1 3. 1. Name the side of the triangle opposite A in two different ways. 2. Name
More informationPage 1. Right Triangles The Pythagorean Theorem Independent Practice
Name Date Page 1 Right Triangles The Pythagorean Theorem Independent Practice 1. Tony wants his white picket fence row to have ivy grow in a certain direction. He decides to run a metal wire diagonally
More informationG.SRT.C.8: Using Trigonometry to Find an Angle 1a
1 Cassandra is calculating the measure of angle A in right triangle ABC, as shown in the accompanying diagram. She knows the lengths of AB and BC. 3 In the diagram below of right triangle ABC, AC = 8,
More information5.5 Right Triangles. 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow:
5.5 Right Triangles 1. For an acute angle A in right triangle ABC, the trigonometric functions are as follow: sin A = side opposite hypotenuse cos A = side adjacent hypotenuse B tan A = side opposite side
More informationAW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES
AW Math 10 UNIT 7 RIGHT ANGLE TRIANGLES Assignment Title Work to complete Complete 1 Triangles Labelling Triangles 2 Pythagorean Theorem 3 More Pythagorean Theorem Eploring Pythagorean Theorem Using Pythagorean
More informationGeometry Final Exam - Study Guide
Geometry Final Exam - Study Guide 1. Solve for x. True or False? (questions 2-5) 2. All rectangles are rhombuses. 3. If a quadrilateral is a kite, then it is a parallelogram. 4. If two parallel lines are
More informationAWM 11 UNIT 4 TRIGONOMETRY OF RIGHT TRIANGLES
AWM 11 UNIT 4 TRIGONOMETRY OF RIGHT TRIANGLES Assignment Title Work to complete Complete 1 Triangles Labelling Triangles 2 Pythagorean Theorem Exploring Pythagorean Theorem 3 More Pythagorean Theorem Using
More informationGeometry First Semester Exam Answer Section
Geometry First Semester Exam Answer Section MULTIPLE CHOICE 1. ANS: A PTS: 1 DIF: Level A REF: MLGE0084 TOP: Lesson 1.1 Identify Points, Lines, and Planes KEY: points collinear 2. ANS: C PTS: 1 DIF: Level
More informationGeometry. Chapter 7 Right Triangles and Trigonometry. Name Period
Geometry Chapter 7 Right Triangles and Trigonometry Name Period 1 Chapter 7 Right Triangles and Trigonometry ***In order to get full credit for your assignments they must me done on time and you must SHOW
More information4. Describe the correlation shown by the scatter plot. 8. Find the distance between the lines with the equations and.
Integrated Math III Summer Review Packet DUE THE FIRST DAY OF SCHOOL The problems in this packet are designed to help you review topics from previous mathematics courses that are essential to your success
More informationGeometry. Practice End-of-Course Exam #3. Name Teacher. Per
Geometry Practice End-of-Course Exam #3 Name Teacher Per 1 Look at the pair of triangles. A B C D Which statement is true? Ο A. The triangles are congruent. Ο B. The triangles are similar but not congruent.
More informationCumulative Review: SOHCAHTOA and Angles of Elevation and Depression
Cumulative Review: SOHCAHTOA and Angles of Elevation and Depression Part 1: Model Problems The purpose of this worksheet is to provide students the opportunity to review the following topics in right triangle
More informationIf AB = 36 and AC = 12, what is the length of AD?
Name: ate: 1. ship at sea heads directly toward a cliff on the shoreline. The accompanying diagram shows the top of the cliff,, sighted from two locations, and B, separated by distance S. If m = 30, m
More informationUNIT 5 TRIGONOMETRY Lesson 5.4: Calculating Sine, Cosine, and Tangent. Instruction. Guided Practice 5.4. Example 1
Lesson : Calculating Sine, Cosine, and Tangent Guided Practice Example 1 Leo is building a concrete pathway 150 feet long across a rectangular courtyard, as shown in the following figure. What is the length
More informationWarm-Up Up Exercises. Use this diagram for Exercises If PR = 12 and m R = 19, find p. ANSWER If m P = 58 and r = 5, find p.
Warm-Up Up Exercises Use this diagram for Exercises 1 4. 1. If PR = 12 and m R = 19, find p. ANSWER 11.3 2. If m P = 58 and r = 5, find p. ANSWER 8.0 Warm-Up Up Exercises Use this diagram for Exercises
More informationSM 2. Date: Section: Objective: The Pythagorean Theorem: In a triangle, or
SM 2 Date: Section: Objective: The Pythagorean Theorem: In a triangle, or. It doesn t matter which leg is a and which leg is b. The hypotenuse is the side across from the right angle. To find the length
More informationLesson Title 2: Problem TK Solving with Trigonometric Ratios
Part UNIT RIGHT solving TRIANGLE equations TRIGONOMETRY and inequalities Lesson Title : Problem TK Solving with Trigonometric Ratios Georgia Performance Standards MMG: Students will define and apply sine,
More informationAssignment. Pg. 567 #16-33, even pg 577 # 1-17 odd, 32-37
Assignment Intro to Ch. 8 8.1 8. Da 1 8. Da 8. Da 1 8. Da Review Quiz 8. Da 1 8. Da 8. Etra Practice 8.5 8.5 In-class project 8.6 Da 1 8.6 Da Ch. 8 review Worksheet Worksheet Worksheet Worksheet Worksheet
More informationCK-12 Geometry: Inverse Trigonometric Ratios
CK-12 Geometry: Inverse Trigonometric Ratios Learning Objectives Use the inverse trigonometric ratios to find an angle in a right triangle. Solve a right triangle. Apply inverse trigonometric ratios to
More informationName Class Date. Investigating a Ratio in a Right Triangle
Name lass Date Trigonometric Ratios Going Deeper Essential question: How do you find the tangent, sine, and cosine ratios for acute angles in a right triangle? In this chapter, you will be working etensively
More informationBenchmark Test 4. Pythagorean Theorem. More Copy if needed. Answers. Geometry Benchmark Tests
enchmark LESSON 00.00 Tests More opy if needed enchmark Test 4 Pythagorean Theorem 1. What is the length of the hypotenuse of a right triangle with leg lengths of 12 and 6?. 3 Ï } 2. Ï } 144. 6 Ï } 3 D.
More informationChapter 7: Right Triangles and Trigonometry Name: Study Guide Block: Section and Objectives
Page 1 of 22 hapter 7: Right Triangles and Trigonometr Name: Stud Guide lock: 1 2 3 4 5 6 7 8 SOL G.8 The student will solve real-world problems involving right triangles b using the Pthagorean Theorem
More informationarchitecture, physics... you name it, they probably use it.
The Cosine Ratio Cosine Ratio, Secant Ratio, and Inverse Cosine.4 Learning Goals In this lesson, you will: Use the cosine ratio in a right triangle to solve for unknown side lengths. Use the secant ratio
More informationUNIT 4 MODULE 2: Geometry and Trigonometry
Year 12 Further Mathematics UNIT 4 MODULE 2: Geometry and Trigonometry CHAPTER 8 - TRIGONOMETRY This module covers the application of geometric and trigonometric knowledge and techniques to various two-
More informationSolving Right Triangles. How do you solve right triangles?
Solving Right Triangles How do you solve right triangles? The Trigonometric Functions we will be looking at SINE COSINE TANGENT The Trigonometric Functions SINE COSINE TANGENT SINE Pronounced sign TANGENT
More informationThe Real Number System and Pythagorean Theorem Unit 9 Part C
The Real Number System and Pythagorean Theorem Unit 9 Part C Standards: 8.NS.1 Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion;
More informationPacket Unit 5 Trigonometry Honors Math 2 17
Packet Unit 5 Trigonometry Honors Math 2 17 Homework Day 12 Part 1 Cumulative Review of this unit Show ALL work for the following problems! Use separate paper, if needed. 1) If AC = 34, AB = 16, find sin
More information5B.4 ~ Calculating Sine, Cosine, Tangent, Cosecant, Secant and Cotangent WB: Pgs :1-10 Pgs : 1-7
SECONDARY 2 HONORS ~ UNIT 5B (Similarity, Right Triangle Trigonometry, and Proof) Assignments from your Student Workbook are labeled WB Those from your hardbound Student Resource Book are labeled RB. Do
More informationChapter 3: Right Triangle Trigonometry
10C Name: Chapter 3: Right Triangle Trigonometry 3.1 The Tangent Ratio Outcome : Develop and apply the tangent ratio to solve problems that involve right triangles. Definitions: Adjacent side: the side
More informationUnit 1 Trigonometry. Topics and Assignments. General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes:
1 Unit 1 Trigonometry General Outcome: Develop spatial sense and proportional reasoning. Specific Outcomes: 1.1 Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems
More informationGeometry Summative Review 2008
Geometry Summative Review 2008 Page 1 Name: ID: Class: Teacher: Date: Period: This printed test is for review purposes only. 1. ( 1.67% ) Which equation describes a circle centered at (-2,3) and with radius
More informationMath 1201 Chapter 2 Review
ath 1201 hapter 2 Review ultiple hoice Identify the choice that best completes the statement or answers the question. 1. etermine tan and tan. 8 10 a. tan = 1.25; tan = 0.8 c. tan = 0.8; tan = 1.25 b.
More informationName: Date: Period: Mrs. K. Williams ID: A
Name: Date: Period: Mrs. K. Williams ID: A Review Assignment: Chapters 1-7 CHAPTER 1- solve each equation. 6. 1. 12x 7 67 x = 2. 6 m 12 18 m = 3. 5.4x 13 121 7. x = 4. 22.8 2p 44.4 5. p = CHAPTER 2- Determine
More informationhypotenuse adjacent leg Preliminary Information: SOH CAH TOA is an acronym to represent the following three 28 m 28 m opposite leg 13 m
On Twitter: twitter.com/engagingmath On FaceBook: www.mathworksheetsgo.com/facebook I. odel Problems II. Practice Problems III. Challenge Problems IV. Answer ey Web Resources Using the inverse sine, cosine,
More informationYou ll use the six trigonometric functions of an angle to do this. In some cases, you will be able to use properties of the = 46
Math 1330 Section 6.2 Section 7.1: Right-Triangle Applications In this section, we ll solve right triangles. In some problems you will be asked to find one or two specific pieces of information, but often
More informationAssignment. Framing a Picture Similar and Congruent Polygons
Assignment Assignment for Lesson.1 Name Date Framing a Picture Similar and Congruent Polygons Determine whether each pair of polygons is similar. If necessary, write the similarity statement. Determine
More informationPractice For use with pages
9.1 For use with pages 453 457 Find the square roots of the number. 1. 36. 361 3. 79 4. 1089 5. 4900 6. 10,000 Approimate the square root to the nearest integer. 7. 39 8. 85 9. 105 10. 136 11. 17.4 1.
More informationSemester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them.
Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them. Chapter 9 and 10: Right Triangles and Trigonometric Ratios 1. The hypotenuse of a right
More informationGeometry SIA #2 Practice Exam
Class: Date: Geometry SIA #2 Practice Exam Short Answer 1. Justify the last two steps of the proof. Given: RS UT and RT US Prove: RST UTS Proof: 1. RS UT 1. Given 2. RT US 2. Given 3. ST TS 3.? 4. RST
More information10-1. Three Trigonometric Functions. Vocabulary. Lesson
Chapter 10 Lesson 10-1 Three Trigonometric Functions BIG IDEA The sine, cosine, and tangent of an acute angle are each a ratio of particular sides of a right triangle with that acute angle. Vocabulary
More informationDistance in Coordinate Geometry
Page 1 of 6 L E S S O N 9.5 We talk too much; we should talk less and draw more. Distance in Coordinate Geometry Viki is standing on the corner of Seventh Street and 8th Avenue, and her brother Scott is
More informationAlgebra II. Slide 1 / 92. Slide 2 / 92. Slide 3 / 92. Trigonometry of the Triangle. Trig Functions
Slide 1 / 92 Algebra II Slide 2 / 92 Trigonometry of the Triangle 2015-04-21 www.njctl.org Trig Functions click on the topic to go to that section Slide 3 / 92 Trigonometry of the Right Triangle Inverse
More informationYou ll use the six trigonometric functions of an angle to do this. In some cases, you will be able to use properties of the = 46
Math 1330 Section 6.2 Section 7.1: Right-Triangle Applications In this section, we ll solve right triangles. In some problems you will be asked to find one or two specific pieces of information, but often
More informationT.4 Applications of Right Angle Trigonometry
22 T.4 Applications of Right Angle Trigonometry Solving Right Triangles Geometry of right triangles has many applications in the real world. It is often used by carpenters, surveyors, engineers, navigators,
More informationTrigonometry Ratios. For each of the right triangles below, the labelled angle is equal to 40. Why then are these triangles similar to each other?
Name: Trigonometry Ratios A) An Activity with Similar Triangles Date: For each of the right triangles below, the labelled angle is equal to 40. Why then are these triangles similar to each other? Page
More informationA lg e b ra II. Trig o n o m e try o f th e Tria n g le
1 A lg e b ra II Trig o n o m e try o f th e Tria n g le 2015-04-21 www.njctl.org 2 Trig Functions click on the topic to go to that section Trigonometry of the Right Triangle Inverse Trig Functions Problem
More informationName Class Date. Essential question: How do you find the tangent, sine, and cosine ratios for acute angles in a right triangle?
Name lass Date 8-2 Trigonometric Ratios Going Deeper Essential question: How do you find the tangent, sine, and cosine ratios for acute angles in a right triangle? In this chapter, you will be working
More informationRight Triangle Trigonometry
Right Triangle Trigonometry 1 The six trigonometric functions of a right triangle, with an acute angle, are defined by ratios of two sides of the triangle. hyp opp The sides of the right triangle are:
More informationTheorem 8-1-1: The three altitudes in a right triangle will create three similar triangles
G.T. 7: state and apply the relationships that exist when the altitude is drawn to the hypotenuse of a right triangle. Understand and use the geometric mean to solve for missing parts of triangles. 8-1
More informationFinding Angles and Solving Right Triangles NEW SKILLS: WORKING WITH INVERSE TRIGONOMETRIC RATIOS. Calculate each angle to the nearest degree.
324 MathWorks 10 Workbook 7.5 Finding Angles and Solving Right Triangles NEW SKILLS: WORKING WITH INVERSE TRIGONOMETRIC RATIOS The trigonometric ratios discussed in this chapter are unaffected by the size
More informationStudy Guide and Review
Choose the term that best matches the statement or phrase. a square of a whole number A perfect square is a square of a whole number. a triangle with no congruent sides A scalene triangle has no congruent
More informationUnit 5 Day 5: Law of Sines and the Ambiguous Case
Unit 5 Day 5: Law of Sines and the Ambiguous Case Warm Up: Day 5 Draw a picture and solve. Label the picture with numbers and words including the angle of elevation/depression and height/length. 1. The
More information8.3 & 8.4 Study Guide: Solving Right triangles & Angles of Elevation/Depression
I can use the relationship between the sine and cosine of complementary angles. I can solve problems involving angles of elevation and angles of depression. Attendance questions. Use the triangle at the
More informationGeometry First Semester Exam
Class: Date: Geometry First Semester Exam 2013-14 1. T is the midpoint of PQ. Which one of the following is not an appropriate statement? a. PT = TQ c. PT TQ b. PT = TQ d. PT + TQ = PQ 2. Which angle measures
More informationName: Class: Date: ID: A
Name: Class: Date: ID: A Ch. 6 Practice Test Multiple Choice Identify the choice that best completes the statement or answers the question. 1. A doorway of width 3.25 ft and height 7.25 ft is similar to
More informationMATH 1040 CP 15 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
MATH 1040 CP 15 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the triangle. 1) 1) 80 7 55 Solve the triangle. Round lengths to the nearest tenth
More informationThese are the type of problems that you will be working on in class. These problems are from Lesson 7.
Pre-Class Problems 10 for Wednesda, October 10 These are the tpe of problems that ou will be working on in class. These problems are from Lesson 7. Solution to Problems on the Pre-Eam. You can go to the
More informationMBF 3C. Foundations for College Mathematics Grade 11 College Mitchell District High School. Unit 1 Trigonometry 9 Video Lessons
MBF 3C Foundations for College Mathematics Grade 11 College Mitchell District High School Unit 1 Trigonometry 9 Video Lessons Allow no more than 15 class days for this unit This includes time for review
More informationBe sure to label all answers and leave answers in exact simplified form.
Pythagorean Theorem word problems Solve each of the following. Please draw a picture and use the Pythagorean Theorem to solve. Be sure to label all answers and leave answers in exact simplified form. 1.
More informationHonors Geometry Final Study Guide 2014
Honors Geometry Final Study Guide 2014 1. Find the sum of the measures of the angles of the figure. 2. What is the sum of the angle measures of a 37-gon? 3. Complete this statement: A polygon with all
More informationI. Model Problems II. Practice III. Challenge Problems IV. Answer Key. Sine, Cosine Tangent
On Twitter: twitter.com/engagingmath On FaceBook: www.mathworksheetsgo.com/facebook I. Model Problems II. Practice III. Challenge Problems IV. Answer Key Web Resources Sine, Cosine Tangent www.mathwarehouse.com/trigonometry/sine-cosine-tangent.html
More informationGeometry Second Semester Review
Class: Date: Geometry Second Semester Review Short Answer 1. Identify the pairs of congruent angles and corresponding sides. 2. Determine whether the rectangles are similar. If so, write the similarity
More informationUnit 2: Trigonometry. This lesson is not covered in your workbook. It is a review of trigonometry topics from previous courses.
Unit 2: Trigonometry This lesson is not covered in your workbook. It is a review of trigonometry topics from previous courses. Pythagorean Theorem Recall that, for any right angled triangle, the square
More informationNon-right Triangles: Law of Cosines *
OpenStax-CNX module: m49405 1 Non-right Triangles: Law of Cosines * OpenStax This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 4.0 In this section, you will:
More information17-18 ACP Geometry Final Exam REVIEW
17-18 ACP Geometry Final Exam REVIEW Chapter 7 Similarity 1. Given ABC DEF. Find the value of x. Justify your answer. Are the following triangles similar? If so, justify your answer, and write a similarity
More informationGeometry Unit 3 Practice
Lesson 17-1 1. Find the image of each point after the transformation (x, y) 2 x y 3, 3. 2 a. (6, 6) b. (12, 20) Geometry Unit 3 ractice 3. Triangle X(1, 6), Y(, 22), Z(2, 21) is mapped onto XʹYʹZʹ by a
More information10-2. More Right-Triangle Trigonometry. Vocabulary. Finding an Angle from a Trigonometric Ratio. Lesson
hapter 10 Lesson 10-2 More Right-Triangle Trigonometry IG IDE If you know two sides of a right triangle, you can use inverse trigonometric functions to fi nd the measures of the acute angles. Vocabulary
More informationSOH CAH TOA Worksheet Name. Find the following ratios using the given right triangles
Name: Algebra II Period: 9.1 Introduction to Trig 12.1 Worksheet Name GETTIN' TRIGGY WIT IT SOH CAH TOA Find the following ratios using the given right triangles. 1. 2. Sin A = Sin B = Sin A = Sin B =
More informationSolv S ing olv ing ight ight riang les iangles 8-3 Solving Right Triangles Warm Up Use ABC for Exercises If a = 8 and b = 5, find c
Warm Up Lesson Presentation Lesson Quiz Warm Up Use ABC for Exercises 1 3. 1. If a = 8 and b = 5, find c. 2. If a = 60 and c = 61, find b. 11 3. If b = 6 and c = 10, find sin B. 0.6 Find AB. 4. A(8, 10),
More informationChapter 7 Diagnostic Test
Chapter 7 Diagnostic Test STUDENT BOOK PAGES 370 419 1. Epress each ratio in simplest form. 4. 5 12 : 42 18 45 c) 20 : 8 d) 63 2. Solve each proportion. 12 4 2 = 15 45 = 3 c) 7.5 22.5 = d) 12 4.8 = 9.6
More information2) In a right triangle, with acute angle θ, sin θ = 7/9. What is the value of tan θ?
CC Geometry H Aim #26: Students rewrite the Pythagorean theorem in terms of sine and cosine ratios and write tangent as an identity in terms of sine and cosine. Do Now: 1) In a right triangle, with acute
More informationGeometry Final Assessment
Geometry Final Assessment Identify the choice that best completes the statement or answers the question. 1) Write a conditional statement from the following statement: a) A horse has 4 legs. b) If it has
More informationGeometry Semester1 Practice Worksheets - Show all work on a separate sheet of paper neatly and clearly! Name: Date: Block:
Geometry Semester1 Practice Worksheets - Show all work on a separate sheet of paper neatly and clearly! Name: Date: Block: 1. In the figure below, points A, E, and D, are on the same line. What is the
More informationSemester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them.
Semester 2 Review Problems will be sectioned by chapters. The chapters will be in the order by which we covered them. Chapter 9 and 10: Right Triangles and Trigonometric Ratios 1. The hypotenuse of a right
More informationPythagorean Theorem Distance and Midpoints
Slide 1 / 78 Pythagorean Theorem Distance and Midpoints Slide 2 / 78 Table of Contents Pythagorean Theorem Distance Formula Midpoints Click on a topic to go to that section Slide 3 / 78 Slide 4 / 78 Pythagorean
More information