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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

2 Answers

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A. Is the answer!

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User Aaronsw
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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

User Animal
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