Need !

quadrilateral abcd is a parallelogram. complete the statements to prove that line ab ⩭ to line cd and line bc ⩭ to line ad.

statement reason

1. quadrilateral abcd is a parallelogram. given

2. ab∥cd and bc∥ad . definition of a parallelogram

3. draw line ac . line ac is a transversal
that two pairs of parallel lines, ab and cd
andad and bc. drawing a line segment

4. ∠cab is congruent to ∠acd and ∠bca is
congruent to∠cad . ?

5. m∠cab =∠acd and ∠bca = ∠cad .

6. ac = ac . reflexive property of equality

7. ⊿abc is congruent to⊿cda. asa criterion for congruence

8. ab is congruent to cd and bc is congruent to ad. corresponding sides of congruent triangles are congruent.

missing proof for 4 and 5