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Set D is the correct answer that shows the triangles are similar by SAS

The given triangles DGF and JKL are similar by SAS criteria.

What are the similar triangles?

Similar triangles are triangles that have the same shape, but their sizes may vary.

What is SAS similarity criteria?

If in two triangles, one pair of corresponding sides are proportional and the included angles are equal then the two triangles are similar by SAS similarity criteria.

According to the given question.

We have some triangles.

If we see in option D there are two triangles, ΔDFG and ΔJKL.

In triangles DFG and JKL we have

m ∠DFG = ∠JKL

and [tex]\frac{DF}{FG} = \frac{JK}{KL}[/tex]

Since, in triangles DFG and JKL, one pair of corresponding sides DF, FG and JK, Kl are proportional and angles DFG and JKl are equals. Therefore, the given triangles DGF and JKL are similar by SAS criteria.

Find out more information about similarity of triangles by SAS ceiteria here:

https://brainly.com/question/22472034

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