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If ∠C ≅ ∠​M, ∠E ≅ ∠​Q, ED, ≅ QN,CD ≅MN and EC≅QM , then _____ ≅∆MQN.

A. ∆CED
B. ∆DCE
C. ∆DEC
D. ∆ECD

Answer :

A. Is the answer!

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JeanaShupp

Answer: A. ∆CED

Step-by-step 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

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