Question

question 1 of 10 which of the following are necessary when proving that the opposite angles of a parallelogram are congruent? check all that apply. a. corresponding parts of congruent triangles are congruent. b. corresponding parts of similar triangles are similar. c. segment addition postulate. d. angle addition postulate.

Explanation:

Step1: Divide parallelogram

Draw a diagonal in parallelogram to form two congruent triangles.

Step2: Use congruent - triangle property

By the property that corresponding parts of congruent triangles are congruent, we can prove opposite angles of parallelogram are congruent. Similar - triangle property (B) is not relevant as we need congruence here. Segment Addition Postulate (C) and Angle Addition Postulate (D) are not used in this proof.

Answer:

A. Corresponding parts of congruent triangles are congruent.