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

Answer 1

Step-by-step explanation: Step-by-step 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. ΔABC ≅ ΔCDA SAS

5. ∠2 = ∠3 CPCTE

Answer 2

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. ΔABC ≅ ΔCDA SAS

5. ∠2 = ∠3 CPCTE