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Transcript
Name _______________________________________ Date __________________ Class __________________ Practice A Pairs of Angles Complete the statements. 1. Adjacent angles are two angles in the same plane with a common __________ and a common __________, but no common interior points. 2. A __________ is a pair of adjacent angles whose noncommon sides are opposite rays. 3. Complementary angles are two angles whose measures have a sum of __________. 4. The kind of angle formed by the noncommon sides of two adjacent and complementary angles is a _______________. 5. _______________ angles are two angles whose measures have a sum of 180. 6. The kind of angle formed by the noncommon sides of two adjacent and supplementary angles is a _______________. Draw your answer in the space provided. 7. Sketch 1 and 2 so that they are adjacent angles. 8. Sketch 1 and 2 so that they form a linear pair. In an equilateral triangle, all three sides have equal lengths and all three angles have equal measures. Find the measure of the following angles. 9. supplement of A __________ 10. complement of A __________ Draw your answer in the space provided. 11. Sketch 1 and 2 so that they are vertical angles. Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry Name _______________________________________ Date __________________ Class __________________ 6. 7. 7.5 x 22.5 8. back 2 1 1 somersault 2 twists 2 2 9. 68° 5. straight 6. obtuse 7. acute 9. obtuse 8. obtuse 10. straight 11. right 12. acute 13. Check students’ drawings. 14. Check students’ drawings. 15. Check students’ drawings. 10. No, WZ does not have to be the angle bisector of XWY. 16. Check students’ drawings. Reteach Practice A PAIRS OF ANGLES 1. Q, PQR, 1 1. vertex; side 2. linear pair 2. J, HJK, KJH 3. 90° 4. right angle 3. ABD, ABC, DBC 5. Supplementary 6. straight angle 4. obtuse 5. right 6. acute 7. 55° 8. 125° 9. 102° 10. 51° 7. 11. 129° 12. 51° 8. Challenge 1. 9. 120° 10. 30. 11. 2. angle bisector 3. It is double the number of cuts. 4. 360 (2n) or 180 n Practice B 5. 20; 18° Problem Solving 1. Sample answer: LKG, GKH, HKJ, JKL, LKH 1. 180° 2. QR 3. 137.9° 4. (110 8x)° 5. 132° 6. 135° 2. 103° 3. 100° 7. mDEF 29°; mFEG 61° 4. 65 5. 27 8. mDEF 91°; mFEG 89° 6. A 7. J 9. Possible answers: 1 and 3 or 2 and 4 Reading Strategies 1. obtuse 3. right 2. acute 4. right 10. Possible answers: 1 and 2; 2 and 3; 3 and 4; or 1 and 4 11. right 12. 45°; 45° Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Geometry