Direction: Study the triangle below. Complete the table on the next slide. Select the correct answer from the given choices below. Given: 21= Z2, D is the midpoint of BC. ZADB is a right angle ZADC is a right angle Prove: AADB = AADC Choice your Answer here: * ZABD and Z1 form a linear pair ZACD and 2 form a linear pair * Any two right angles are congruent * ZABD = ZACD * Z1= 2 * Given * ASA Postulate * Linear pair postulate * BD = CD * ZADB = ZADC * SSS Postulate Statements Reasons 1. 1. Given 2. 2. Definition of Linear Pair 3. ZABD is supplementary to 21. ZACD is supplementary to 22 3. 4. 4. Supplements to congruent angle are congruent 5. D is the midpoint of BC 5. 6. 6. Definition of midpoint 7. ZADB is a right angle. ZADC is a right angle. 7. 8. 8. Any two right angles are congruent 9. AADB = AADC 9.
Direction: Study the triangle below. Complete the table on the next slide. Select the correct answer from the given choices below. Given: 21= Z2, D is the midpoint of BC. ZADB is a right angle ZADC is a right angle Prove: AADB = AADC Choice your Answer here: * ZABD and Z1 form a linear pair ZACD and 2 form a linear pair * Any two right angles are congruent * ZABD = ZACD * Z1= 2 * Given * ASA Postulate * Linear pair postulate * BD = CD * ZADB = ZADC * SSS Postulate Statements Reasons 1. 1. Given 2. 2. Definition of Linear Pair 3. ZABD is supplementary to 21. ZACD is supplementary to 22 3. 4. 4. Supplements to congruent angle are congruent 5. D is the midpoint of BC 5. 6. 6. Definition of midpoint 7. ZADB is a right angle. ZADC is a right angle. 7. 8. 8. Any two right angles are congruent 9. AADB = AADC 9.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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