Question

e) plane fed and plane bfc 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 at each intersection where a straight - line crosses two others. Alternate interior angles are between the two crossed lines and on opposite sides of the transversal. Alternate exterior angles are outside the two crossed lines and on opposite sides of the transversal. Consecutive (same - side) interior angles are between the two crossed lines and on the same side of the transversal, and consecutive (same - side) exterior angles are outside the two crossed lines and on the same side of the transversal.

Step2: Analyze each pair

For each pair of angles \(\angle1\) and \(\angle2\) in the given diagrams:

• In diagram 3: \(\angle1\) and \(\angle2\) are alternate exterior angles as they are outside the two lines and on opposite sides of the transversal.
• In diagram 4: \(\angle1\) and \(\angle2\) are corresponding angles as they are in the same relative position with respect to the transversal and the two crossed lines.
• In diagram 5: \(\angle1\) and \(\angle2\) are alternate interior angles as they are between the two lines and on opposite sides of the transversal.
• In diagram 7: \(\angle1\) and \(\angle2\) are consecutive (same - side) interior angles as they are between the two lines and on the same side of the transversal.
• In diagram 8: \(\angle1\) and \(\angle2\) are alternate exterior angles as they are outside the two lines and on opposite sides of the transversal.

Answer:

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