Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Transcript

Name 1-5 Class Date Practice Form K Exploring Angle Pairs Use the diagram at the right. Is each statement true? Explain. 1 6 1. /5 and /4 are supplementary angles. No; they are complementary. 5 2 4 3 2. /6 and /5 are adjacent angles. Yes; they have a common side and vertex. 3. /1 and /2 are a linear pair. Yes; they are adjacent angles whose noncommon sides are opposite rays. Name an angle or angles in the diagram described by each of the following. 4. a pair of vertical angles lRPQ and lTPU S T R Q 40 U P 5. supplementary to /RPS lSPU To start, remember that supplementary angles are two angles whose measures u have a sum of 180 . 6. a pair of complementary angles lQPR and lRPS or lRPS and lUPT To start, remember that complementary angles are two angles whose u measures have a sum of 90 . 7. adjacent to /TPU lSPT, lRPT, lQPU, lRPU, and lQPT A For Exercises 8–11, can you make each conclusion from the information in the diagram? Explain. 8. /CEG > /FED Yes; the arcs indicate they are equal. F D B 9. DE > EF Yes; they are marked as O. E C G 10. /BCE > /BAD 11. /ADB and /FDE are vertical angles. no; not enough information Yes; their sides are opposite rays. Use the diagram at the right for Exercises 12 and 13. 12. Name two pairs of angles that form a linear pair. Answers may vary. Sample: lNSO and lQSO; lNSP and lQSP; lOSP and lRSP; lOSQ and lRSQ 13. Name two pairs of angles that are complementary. lPSQ and lQSR, lPSQ and lNSO P Q O N Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 45 S R Name Class Date Practice (continued) 1-5 Form K Exploring Angle Pairs ) 14. Algebra In the diagram, XY bisects /WXZ. Z Y a. Solve for x and find m/WXY. 5; 28 (5x 3) W b. Find m/YXZ. 28 (7x 7) c. Find m/WXZ. 56 X ) Algebra QR bisects lPQS. Solve for x and find mlPQS. 15. m/PQR 5 3x, m/RQS 5 4x 2 9 9; 54 16. m/PQS 5 4x 2 6, m/PQR 5 x 1 11 14; 50 17. m/PQR 5 5x 2 4, m/SQR 5 3x 1 10 7; 62 18. m/PQR 5 8x 1 1, m/SQR 5 6x 1 7 3; 50 Algebra Find the measure of each angle in the angle pair described. 19. The measure of one angle is 5 times the measure of its complement. 75 and 15 20. The measure of an angle is 30 less than twice its supplement. 70 and 110 21. Draw a Diagram Make a diagram that matches the following description. Answers may vary. Sample: 3 2 • /1 is adjacent to /2. • /2 and /3 are a linear pair. • /2 and /4 are vertical angles. • /4 and /5 are complementary. 1 5 4 In the diagram at the right, mlHKI 5 48. Find each of the following. F 22. m/HKJ 90 23. m/IKJ 42 24. m/FKG 42 25. m/FKH 132 26. m/FKJ 138 27. m/GKI 138 K J 48 I Prentice Hall Foundations Geometry • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 46 G H

Document related concepts

Line (geometry) wikipedia, lookup

Euclidean geometry wikipedia, lookup

Pythagorean theorem wikipedia, lookup

Rational trigonometry wikipedia, lookup

Integer triangle wikipedia, lookup

Trigonometric functions wikipedia, lookup

Multilateration wikipedia, lookup

Technical drawing wikipedia, lookup

History of trigonometry wikipedia, lookup

Euler angles wikipedia, lookup

Perceived visual angle wikipedia, lookup