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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 your class=

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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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