### Home > CCG > Chapter 7 > Lesson 7.2.5 > Problem 7-100

* *below, given that

*and*

*, show that*

*. Organize your reasoning in a flowchart. Then record your theorem in your Theorem Toolkit (Lesson 7.2.1A Resource Page).*

Be sure to supply the reasoning for each step.

If a pair of opposite sides is parallel and congruent then the quadrilateral is a parallelogram.

Use the if part of the statement as the givens, and the then part of the statement as the prove portion in the proof.

This flowchart has 8 bubbles. Bubble # 1 has an arrow, pointing down to bubble # 4. Bubble numbers 2, 3, and 4 have arrows, pointing down to bubble # 5. Bubble #5 has an arrow, pointing down to bubble #6. Bubble # 6 has an arrow, pointing down to bubble # 7. Bubble 7 has an arrow, pointing down to bubble # 8.

Bubble # 1 | ||

| ||

Bubble # 2 | Bubble # 3 | Bubble # 4 |

Bubble # 5 | ||

Bubble # 6 | ||

Bubble # 7 | ||

Bubble # 8 |