Question

Look at the figure below:​

Answer 1

Answer is option 1)

Answer is given below with explanations.

Explanation:

`triangle \: ABD \: and \: triangle \:ECD \: are \: congruent \\ length \: of \: BD \: = \: length \: of \: CD \\ \: and \: also \\ length \: of \: AD = length \: of \: ED \\ angle \: BDA \: = \: angle \: CDE \\ by \: \: side \: - angle - side \: postulate \\ triangle \: ABD \: and \: triangle \:ECD \: are \: congruent.`

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Answer 2

Answer: A) ΔABD ≡ ΔECD

Explanation:

Match up the letters of the congruent sides.

AD = ED and BD = CD

A D B D → ABD

E D C D → ECD

This can be written in any order as long as the letters are matched properly. A & E, D & D, B & C

ADB or BDA or ...

EDC CDE

The only correct option provided is option A.