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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.

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 class=

Answer :

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 [tex]\triangle[/tex] DEF and  [tex]\triangle[/tex] DHG.

Where

  • FD [tex]=[/tex] DG
  • ED [tex]=[/tex] DH

And we can see that [tex]\angle FDE = \angle HDG[/tex] (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 [tex]\triangle[/tex] DEF and  [tex]\triangle[/tex] DHG are congruent  [tex]\triangle[/tex] 's

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