Question

question 5 of 10 which of the following are necessary when proving that the opposite sides of a parallelogram are congruent? check all that apply. a. corresponding parts of similar triangles are similar. b. alternate interior angles are congruent. c. corresponding parts of congruent triangles are congruent. d. alternate interior angles are supplementary.

Explanation:

Step1: Understand parallelogram proof

To prove opposite - sides of parallelogram congruent, we use triangle - congruence.

Step2: Recall angle - related property

Alternate interior angles formed by a transversal cutting parallel lines (sides of parallelogram) are congruent. This helps in proving triangle congruence.

Step3: Recall triangle - congruence property

Once we prove two triangles formed within the parallelogram are congruent, we use the fact that corresponding parts of congruent triangles are congruent to show opposite sides of parallelogram are congruent.

Answer:

B. Alternate interior angles are congruent., C. Corresponding parts of congruent triangles are congruent.