Verified Answer :

JeanaShupp

Answer: C. Might not be congruent.

Step-by-step explanation:

In the given figure, we have two right triangles ΔABC and ΔDEF.

Also, it is given that,

\(\angle{A}=\angle{D}\\\angle{B}=\angle{E}\\\angle{C}=\angle{F}\)

So by, AAA similarity rule we can say  ΔABC and ΔDEF are similar.

But we cannot say it is congruent.

We need at-least one side equal in both triangles to prove it congruent.

For example :-All the equilateral triangles are similar but not congruent as the side lengths vary as per triangle but the angles remain same  \(60^{\circ}\).

One side equal in both triangles to prove it congruent.

In the given figure, we have two right triangles ΔABC and ΔDEF.

Also, it is given that,

\(\angle A=\angle D\\\angle B=\angle E\\\\\angle C=\angle F\\\)

So by, the AAA similarity rule, we can say  ΔABC and ΔDEF are similar.

But we cannot say it is congruent.

What is congruent?

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

We need at least one side equal in both triangles to prove it congruent.

To learn more about the congruent visit:

https://brainly.com/question/2938476

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