Question

Given: ad ≅ bc and ad ∥ bc prove: abcd is a parallelogram. statements reasons 1. ad ≅ bc; ad ∥ bc1.given 2.∠cad and ∠acb are alternate interior ∠s2.definition of alternate interior angles 3.∠cad ≅ ∠acb3.alternate interior angles are congruent 4.ac ≅ ac4.reflexive property 5.△cad ≅ △acb5.sas congruency theorem 6.ab ≅ cd6. ? 7.abcd is a parallelogram 7.parallelogram side theorem what is the missing reason in step 6? sss congruency theorem cpctc definition of a parallelogram opposite sides in a parallelogram are congruent

Answer 1

B. CPCTC

Ps. I did the test.

Answer 2

Answer: Step 6 : CPCTC

Explanation:

CPCTC states that corresponding part of the congruent triangles are congruent.

Here, Given: abcd is a quadrilateral,

In which ad ≅ bc and ad║bc

Prove : abcd is a parallelogram.

Statement Reason

1. ad ≅ bc; ad║bc 1. Given

2.∠cad and ∠acb are alternative angles 2. Definition of alternative angles

3. ∠cad≅∠acb 3. alternative angles are congruent

4. ac ≅ ac 4. Reflexive property

5.△cad ≅ △acb 5. SAS congruence postulate

6. .ab ≅ cd 6. CPCTC

7. abcd is a parallelogram 7. Parallelogram side theorem