Question

Which triangle defined by three points on the coordinate plane is congruent with the triangle illustrated in quadrant 1? Why?

A. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of angles are congruent

B. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of angles are congruent

C. (-5, -5) (-3, -1) (-3, -5) because corresponding pairs of sides and corresponding pairs of angles are congruent

D. (-10, -10) (-6, -10) (-6, -2) because corresponding pairs of sides and corresponding Pairs of angles are congruent

Answer 1

Answer: C. Explanation: congruent triangles must have both equal angles and equal sides. The triangles with vertices at (-5, -5), (-3, -1), and (-3, -5) has the same proportions as the parent triangle, making them congruent.