Question

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

A) (4, 2)(8, 2)(4, 8); because corresponding pairs of angles are congruent.
B) (1, -3)(-1, -3)(1, -6); because corresponding pairs of angles are congruent.
C) (4, 2)(8, 2)(4, 8); because corresponding pairs of sides and corresponding pairs of angles are congruent.
D) (1, -3)(-1, -3)(1, -6); because corresponding pairs of sides and corresponding pairs of angles are congruent

Answer 1

The correct answer is D..........

Answer 2

The triangle defined by three points on the coordinate plane is congruent with the triangle illustrated:

C) (4,2); (8,2); (4,8) because the corresponding pairs of sides and corresponding pairs of angles are congruent.

If we plot these points we can observe that they are congruent, we should also solve for the distance of each point between each other to conclude their congruency.