Given:
AB | | CD
AD | | CB

Prove:
AD = CB

Which of the following statements would complete the proof?

∠1 = ∠2 and ∠3 = ∠4
∠1 = ∠3 and ∠2 = ∠4
∠1 = ∠4 and ∠2 = ∠3

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.      

<1=<2 and <3=<4

Step-by-step explanation:

These are parallel to each other so it will complete the proof needed here to make the statement true.

37

step-by-step explanation:

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.