Question

Which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? Check all that apply.


A. Opposite sides are parallel.

B. Corresponding parts of congruent triangles are congruent.

C. Corresponding parts of similar triangles are similar.

D. Opposite sides are perpendicular.

Answer 1

To prove that  opposite sides of a parallelogram are congruent, Corresponding parts of congruent triangles are congruent , Option B is the correct answer.

What is a Parallelogram ?

A parallelogram is a polygon with four sides , opposite sides of a parallelogram is parallel and equal.

To prove that  opposite sides of a parallelogram are congruent , two triangles need to be drawn on the diagonals and both the triangles are proved congruent.

and by Corresponding parts of congruent triangles are congruent , The opposite sides are proved to be congruent.

Therefore Option B is the correct answer.

To know more about Parallelogram

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