1. Lines
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When a line intersects two or more lines, it is called a transversal and it forms eight angles. Let's recall the names of the different angles that are formed.
Name | Definition |
---|---|
Interior Angles | Angles that lie inside the lines. |
Exterior Angles | Angles that lie outside the lines. |
Alternate Interior Angles | Interior angles that lie on opposite sides of the transversal. When the lines are parallel, their measures are equal. |
Alternate Exterior Angles | Exterior angles that lie on opposite sides of the transversal. When the lines are parallel, their measures are equal. |
Corresponding Angles | Angles that are in the same position on the two lines in relation to the transversal. When the lines are parallel, their measures are equal. |
We are given a diagram that shows two lines being cut by a transversal. We are asked to identify ∠1 and ∠3 as alternate interior, alternate exterior, or corresponding.
We can see that ∠1 and ∠3 are angles that are in the same position on the lines in relation to the transversal. Therefore, they are corresponding angles.