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.

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.                                                                                                                                                            

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

answer for #1 is c

answer for #2 is d

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