Given: AB || DE Prove: AACB ~ ADCE We are given that AB || DE. Because the lines are parallel and segment CB crosses both lines, we can consider CB a transversal of the parallel lines. Angles CED and CBA are ______and are therefore congruent, so ZCED = 2CBA. We can state that C = 20 using the reflexive property. Therefore AACB ~ ADCE by the_______. Which theorems listed below correctly complete the proof above?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 62E: Is it possible that P(AB)=P(A)? Explain.
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Given: AB || DE Prove: AACB ~ ADCE We are given that AB || DE. Because the lines are parallel and segment CB crosses both lines, we can consider CB a transversal of the parallel lines. Angles CED and CBA are ______and are therefore congruent, so ZCED = 2CBA. We can state that C = 20 using the reflexive property. Therefore AACB ~ ADCE by the_______. Which theorems listed below correctly complete the proof above?
A,
C.
E.
B.
D.
Transcribed Image Text:A, C. E. B. D.
Alternate Interior Angles; ASA Similarity
Alternate Interior Angles; ASA Similarity
Corresponding Angles; AA similarity
Alternate Interior Angles; AA similarity
Corresponding Angles; ASA Similarity
Corresponding Angles; AAS Similarity
imit w
Alternate Interior Angles; AAS Similarity
is forr
Transcribed Image Text:Alternate Interior Angles; ASA Similarity Alternate Interior Angles; ASA Similarity Corresponding Angles; AA similarity Alternate Interior Angles; AA similarity Corresponding Angles; ASA Similarity Corresponding Angles; AAS Similarity imit w Alternate Interior Angles; AAS Similarity is forr
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