SOLUTION: Given: LINE SEGMENT AB|| line segment dc. Line segment AD||Line segment BC Prove: triangle ADC congruent to triangle CBA

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Question 1043790: Given: LINE SEGMENT AB|| line segment dc. Line segment AD||Line segment BC
Prove: triangle ADC congruent to triangle CBA

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Construct segment AC. AC is a transversal for both sets of given parallel lines. Using the Opposite Interior Angles theorem, angle DAC congruent to angle ACB and angle BAC congruent to angle ACD. Then since AC = AC by reflexive equality, the two desired triangles are congruent by ASA.

John

My calculator said it, I believe it, that settles it