Question

Decide weather there is enough information to prove the following triangles are congruent. Justify your answer for each pair of triangles.
Is DEF = DHG. Justify your answer below.

Answer 1

Answer:

Yes there is enough information to find both triangles DEF and DHG are congruent.

Both the triangles are congruent by SAS theorem of congruence.

Step-by-step explanation:

Lets have a look to both of the triangles.

And mention what are the given information in our question.

We have $\triangle$ DEF and  $\triangle$ DHG.

Where

• FD $=$ DG
• ED $=$ DH

And we can see that $\angle FDE = \angle HDG$ (Vertically opposite angles).

So we have two sides equal and an angle between the two are equal.

Then we can say that through SAS property of congruence $\triangle$ DEF and  $\triangle$ DHG are congruent  $\triangle$ 's