1. Parallel Lines and Transversals
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What can you notice about the measures of the angles created by the intersection of the lines?
No, lines a and b are not parallel.
We want to determine whether lines a and b are parallel. Let's take a look at the given graph.
The measure of the angle formed by the intersection of lines a and t is about 120^(∘). Let's do the same for line b.
The measure of the angle formed by the intersection of lines b and t is about 115^(∘).
Let's review what we know about different types of angle pairs. We will use the graph below as an example.
Now we can list the different types of angle pairs together with their definitions.
Pairs of Angles | ||
---|---|---|
Type | Definition | Example |
Supplementary Angles | Together, they form a straight line and their measures add up to 180^(∘). | ∠ 1 and ∠ 3 |
Vertical Angles | They lie on the opposite sides of the point of intersection of two lines. | ∠ 1 and ∠ 4 |
Corresponding Angles | They lie in corresponding positions on the same side of the transversal. | ∠ 3 and ∠ 7 |
Alternate Interior Angles | They lie between the two lines on opposite sides of the transversal. | ∠ 4 and ∠ 5 |
Alternate Exterior Angles | They lie outside the two lines on opposite sides of the transversal. | ∠ 2 and ∠ 7 |