Provide the missing statements and reasons for the following proof.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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Provide the missing statements and reasons for the following proof.
21 = 22; 23 = 24
22 and 23 are complementary.
Given:
Prove:
z1 and 24 are complementary.
Statements
Reasons
1. 21 22 and 23 = 24
1.
Select---
2. ---Select---
v and ---Select--- v
2. If two zs are e, then their measures are =.
3. 22 and 23 are complementary.
3.
-Select---
(3)
4.
Select---
4. The sum of the measures of complementary zs is 90°.
(2), (4)
5. mz1 + mz4 = 90°
5.
Select---
6.
Select---
6. If the sum of the measures of two zs is 90°, then the zs are complementary.
Transcribed Image Text:Provide the missing statements and reasons for the following proof. 21 = 22; 23 = 24 22 and 23 are complementary. Given: Prove: z1 and 24 are complementary. Statements Reasons 1. 21 22 and 23 = 24 1. Select--- 2. ---Select--- v and ---Select--- v 2. If two zs are e, then their measures are =. 3. 22 and 23 are complementary. 3. -Select--- (3) 4. Select--- 4. The sum of the measures of complementary zs is 90°. (2), (4) 5. mz1 + mz4 = 90° 5. Select--- 6. Select--- 6. If the sum of the measures of two zs is 90°, then the zs are complementary.
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