# Parallel & Perpendicular Lines with a Transversal Line

## Parallel and Perpendicular Lines with a Transversal - How it Works - Video

### Example 1 - Alternate Exterior Angles

Example 1:

For Alternate Exterior Angles (AEA) to exist, we need a transversal line and parallel lines. AEA are on the outside and are on opposite sides. In the picture on the left we have <1 and <8 that are AEA. And, on the right we have angles <2 and <7 that are AEA. Lastly AEA are congruent.

### Example 2 - Alternate Interior Angles

Example 2:

For Alternate Interior Angles (AIA) to exist, we need a transversal line and parallel lines. AIE are on the inside and are on opposite sides. In the picture on the left we have <3 and <6 that are AIA. And, on the right we have angles <4 and <5 that are AIA. Lastly AIA are congruent.

### Example 3 - Consecutive Interior Angles

Example 3:

For Consecutive Interior Angles (CIA) to exist, we need a transversal line and parallel lines. CIA are on the inside and are on the same side. In the picture on the left we have <3 and <5 that are CIA. And, on the right we have angles <4 and <6 that are CIA. Lastly CIA are supplementary, which means that their sum is 180Â°.

### Example 4 - Corresponding Angles

Example 4:

For Corresponding Angles (CA) to exist, we need a transversal line and parallel lines. CA are in matching corners and are on the same. In the picture on the left we have <1 and <5 that are CA. And, on the right we have angles <2 and <6 that are CA. Lastly CA are congruent.

Example 4 continued:

For Corresponding Angles (CA) to exist, we need a transversal line and parallel lines. CA are in matching corners and are on the same. In the picture on the left we have <3 and <7 that are CA. And, on the right we have angles <4 and <8 that are CA. Lastly CA are congruent.

### Example 5 - Vertical Angles

Example 5:

For Vertical Angles (VA) to exist, we need angles to be opposite each other and two intersecting lines. In the picture on the left we have <1 and <4 that are VA. And, on the right we have angles <2 and <3 that are VA. Lastly VA are congruent.

Example 5 continued:

For Vertical Angles (VA) to exist, we need angles to be opposite each other and two intersecting lines. In the picture on the left we have <5 and <8 that are VA. And, on the right we have angles <6 and <7 that are VA. Lastly VA are congruent.

## Live Worksheet

Here is the link if you prefer.