Question

classify ∠1 and ∠2 on the diagram as corresponding, alternate interior, alternate exterior, consecutive (same - side) interior, or consecutive (same - side) exterior angles.

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position with respect to the transversals and the parallel lines. Alternate interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive (same - side) interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze each diagram

• Diagram 3: ∠1 and ∠2 are outside the two lines and on opposite sides of the transversal, so they are alternate exterior angles.
• Diagram 4: ∠1 and ∠2 are in the same relative position with respect to the transversals and the lines, so they are corresponding angles.
• Diagram 5: ∠1 and ∠2 are between the two lines and on opposite sides of the transversal, so they are alternate interior angles.
• Diagram 6: ∠1 and ∠2 are between the two lines and on the same side of the transversal, so they are consecutive (same - side) interior angles.
• Diagram 7: ∠1 and ∠2 are outside the two lines and on opposite sides of the transversal, so they are alternate exterior angles.
• Diagram 8: ∠1 and ∠2 are between the two lines and on opposite sides of the transversal, so they are alternate interior angles.

Answer:

1. Alternate exterior angles
2. Corresponding angles
3. Alternate interior angles
4. Consecutive (same - side) interior angles
5. Alternate exterior angles
6. Alternate interior angles