Given that r| s, with transversal t, explain why: a) 22 = 27 b) 22 = L4 1 3 4 t c) 23 = L8 d) 25 = L4 6. 7 8 SOLUTION a) Alternate interior angles are congruent because r || s. b) Corresponding angles are congruent because r || s. c) Vertical angles are congruent whether r and s are || or not. d) Alternate exterior angles are congruent because r || s.

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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Question
Given that r| s, with transversal t, explain why:
a) 22 = 27
b) 22 = L4
1
3 4
t
c) 23 = L8
d) 25 = L4
6.
7
8
SOLUTION
a) Alternate interior angles are congruent because r || s.
b) Corresponding angles are congruent because r || s.
c) Vertical angles are congruent whether r and s are || or not.
d) Alternate exterior angles are congruent because r || s.
Transcribed Image Text:Given that r| s, with transversal t, explain why: a) 22 = 27 b) 22 = L4 1 3 4 t c) 23 = L8 d) 25 = L4 6. 7 8 SOLUTION a) Alternate interior angles are congruent because r || s. b) Corresponding angles are congruent because r || s. c) Vertical angles are congruent whether r and s are || or not. d) Alternate exterior angles are congruent because r || s.
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