Question

In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving DC || AB, given AB = CD and AD = CB. Submit the entire proof to your instructor.
Given: AB = CD AD = CB
Prove: DC || AB



STATEMENT
REASON
1.                   1.
2. AC = AC     2.
3.                     3. SSS (Side-Side-Side)
4. ∠1 = ∠4          4.
5.                           5.

Answer 1

Answer:

Look at steps

Step-by-step explanation:

STATEMENT                                                     REASON

1.   AB = CD; AD = CB                               1.        Given

2. AC = AC                                                2.        Identity property

                                                                   (AC is the common side of the two triangles)

3.  Triangle ABC = Triangle ADC            3.        SSS (Side-Side-Side)

4. ∠1 = ∠4                                                  4.  Alternative interior angles are equal (Two lines are parallel and cut by transversal)

5.   DC || AB                                               5. Since alternative interior angles are (Two lines are parallel and cut by transversal)

                                                                       equal, the lines DC and AB are

                                                                        parallel by transversal property.

Thank you:)