If ∠C ≅ ∠M, ∠E ≅ ∠Q, ED, ≅ QN,CD ≅MN and EC≅QM , then _____ ≅∆MQN. A. ∆CED B. ∆DCE C. ∆DEC D. ∆ECD

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asked May 14, 2019 48.1k views

2 Answers

Animal · Answer 1 · 2019-05-18T08:30:53+0000

Answer: A. ∆CED

Explanation:

Given : ∠C ≅ ∠M, ∠E ≅ ∠Q, ED, ≅ QN,CD ≅MN and EC≅QM

It implies vertex C corresponds vertex M

vertex E corresponds vertex Q

And the remaining vertices , i.e. vertex D corresponds vertex N.

Now, triangle ∆CED corresponds ∆MQN, in which

ED, ≅ QN,

CD ≅MN and EC≅QM

Hence, by SSS postulate of congruence , we have

∆CED ≅ ∆MQN