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# Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?

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Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated, and why?

A)(-1, 1)(-2, 1)(-1, 4); because corresponding pairs of angles are congruent.

B)(-2, -3)(-4, -3)(-2, -9); because corresponding pairs of angles are congruent.

C)(-1, 1)(-2, 1)(-1, 4); because corresponding pairs of sides and corresponding pairs of angles are congruent.

D)(-2, -3)(-4, -3)(-2, -9); because corresponding pairs of sides and corresponding pairs of angles are congruent.

Guest May 16, 2017
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"D"  is correct

Look  at the pic :

AB  = DE,  AC = DF  and BC  = EF

So.....by SSS  the triangles are congruent  which implies that matching angles are also congruent

CPhill  May 17, 2017

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