Question

parallel lines and transversals
date____ period____
identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.
1)
2)
3)
4)
5)
6)

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position. Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Consecutive interior angles are between the parallel lines and on the same side of the transversal.

Step2: Analyze each pair

1. For the first pair of angles \(x\) and \(y\), they are in the same relative position with respect to the parallel lines and the transversal, so they are corresponding angles.
2. For the second pair, the angles \(x\) and \(y\) are between the parallel lines and on opposite sides of the transversal, so they are alternate interior angles.
3. For the third pair, the angles \(x\) and \(y\) are outside the parallel lines and on opposite sides of the transversal, so they are alternate exterior angles.
4. For the fourth pair, the angles \(x\) and \(y\) are between the parallel lines and on the same side of the transversal, so they are consecutive interior angles.
5. For the fifth pair, the angles \(x\) and \(y\) are in the same relative position with respect to the parallel lines and the transversal, so they are corresponding angles.
6. For the sixth pair, the angles \(x\) and \(y\) are between the parallel lines and on opposite sides of the transversal, so they are alternate interior angles.

Answer:

1. Corresponding angles
2. Alternate interior angles
3. Alternate exterior angles
4. Consecutive interior angles
5. Corresponding angles
6. Alternate interior angles