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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.

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 A class=

Respuesta :

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Answer:

The correct match of statement with reasons is below.

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.Triangle ABC is                           SAS

congruent to triangle CDA.

5. ∠2 = ∠3                                      CPCTE.                                                                                                                                                            

Answer:

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.          

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