Question

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

A) (-4, 1)(-4, 6)(-1, 6); because corresponding pairs of angles are congruent.
B) (-8, 2)(-8, 12)(-2, 12); because corresponding pairs of angles are congruent.
C) (-4, 1)(-4, 6)(-1, 6); because corresponding pairs of sides and corresponding
pairs of angles are congruent.
D) (-8, 2)(-8, 12)(-2, 12); because corresponding pairs of sides and
corresponding pairs of angles are congruent.

Answer 1

check the picture below.

the "red" pair of sides are congruent, notice, both are 3 and 5 units in length respectively.

Answer 2

-4, 1)(-4, 6)(-1, 6); because corresponding pairs of sides and corresponding pairs of angles are congruent.

Explanation: