Question

in the figure,AB || CD and AB = CD .show that ∆CDE ~∆ABE​

Answer 1

Explanation:

given- ABC and CDE are two triangles

ab||cd and ab=cd

to prove- triangle abc ~ triangle abe

proof- in triangle abc and CDE

angle CDE = angle BAE. (a.i.a)

ab=cd. (given)

angle DCE= angle ABE. (a.i.a)

by angle side angle congruency rule

therefore, triangle CDE ~ triangle ABE.

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