Question

Match the STATEMENTS with the reasons that are given for the following proof. Note that these reasons would be listed on the right side of the statements..

Given:
AB | | DC
AB = CD
Prove:
2 = 3




1.
AB||DC and AB = CD
SAS

2.
∠1 = ∠4
CPCTE

3.
AC=AC
Given

4.
Triangle ABC is congruent to triangle CDA
Reflexive

5.
∠2 = ∠3
If lines are parallel, then alternate interior angles are equal.

Answer 1

1. AB||DC and AB = CD Given

2. ∠1 = ∠4 If lines are parallel, then alternate interior

angles are equal.

3. AC=AC Reflexive

4.Triangle ABC is congruent to triangle CDA. SAS

.

5. ∠2 = ∠3 CPCTE.

Answer 2

The correct match of statement with reasons is below.

Explanation:

1. AB||DC and AB = CD Given

2. ∠1 = ∠4 If lines are parallel, then alternate interior

angles are equal.

3. AC=AC Reflexive

4.Triangle ABC is SAS

congruent to triangle CDA.

5. ∠2 = ∠3 CPCTE.