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 180°.
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.