# 5.2 - PowerPoint PPT Presentation

1 / 12

5.2. Proving that Lines are Parallel. A. B. C. D.  ACD is an exterior angle. A & B are remote interior angles. m  ACD is greater than m  A . m  ACD is greater than m  B. 2. 1. 3. 4. 5. 6. 8. 7. 1  2 PQ ║ RS PQR  RSP 3  4 QR ║ PS

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

5.2

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

## 5.2

Proving that Lines are Parallel

A

B

C

D

 ACD is an exterior angle. A & B are remote interior angles.

mACD is greater than mA.

mACD is greater than mB

2

1

3

4

5

6

8

7

1  2

PQ ║ RS

PQR  RSP

3  4

QR ║ PS

PQRS is a parallelogram.

Given

Alt. int. s  → ║ lines.

Given

Subtraction Property.

Same as 2.

A 4-sided figure with both pairs of opposite sides parallel is a parallelogram.

7 ways to prove lines parallel

• AIP Alt Interior Angles ≅

• CAP Corresponding Angles ≅

• AEP Alt Ext Angles ≅

• SSISP same side interior angles supp parallel lines

• SSESP same side exterior angles supp parallel lines

• 2p3p two lines in a plane are both perpendicular to the same line they are parallel

• Transversal of parallel if 2 lines are both parallel to the same line then they are parallel