Question

which of the following are necessary when proving the opposite sides of a parallelogram are congruent? Check all that apply. A) Opposite sides are perpendicular B) Corresponding parts of similar triangles are similar C) Opposite sides are congruent D) Corresponding parts of congruent triangles are congruent

Answer 1

1. Opposite sides are parallel 2. Corresponding parts of congruent triangles are congruent

Answer 2

C - Opposite sides are congruent

D - Corresponding parts of congruent triangles are congruent

Explanation:

A parallelogram is a quadrilateral whose both pairs of opposite sides are parallel. In a parallelogram, the 2 sets of opposite sides are congruent. Also it has 2 sets of opposite angles congruent.

Therefore, the following are necessary when proving the opposite sides of a parallelogram are congruent.

C - Opposite sides are congruent

D - Corresponding parts of congruent triangles are congruent