Based on my analysis of the diagrams and angle pair definitions, here's the correct matching:
1. Vertical angles - Diagram B (shows opposite angles formed by intersecting lines)
2. Adjacent angles - Diagram C (shows angles sharing a common vertex and side)
3. Complementary angles - Diagram I (shows two angles that add up to 90°)
4. Supplementary angles - Diagram D (shows two angles that add up to 180°)
5. Linear pair - Diagram E (shows adjacent angles that form a straight line, summing to 180°)
6. Alternate interior angles - Diagram F (shows angles on opposite sides of a transversal between parallel lines)
7. Alternate exterior angles - Diagram H (shows angles on opposite sides of a transversal outside parallel lines)
8. Consecutive interior angles - Diagram G (shows angles on the same side of a transversal between parallel lines)
9. Consecutive exterior angles - Diagram J (shows angles on the same side of a transversal outside parallel lines)
10. Corresponding angles - Diagram A (shows angles in the same relative position at each intersection with parallel lines)
This matching is based on standard geometric definitions:
- Vertical angles: opposite angles formed by intersecting lines
- Adjacent angles: angles sharing a common vertex and side
- Complementary angles: two angles summing to 90°
- Supplementary angles: two angles summing to 180°
- Linear pair: adjacent angles forming a straight line (sum to 180°)
- Alternate interior/exterior angles: angles on opposite sides of a transversal
- Consecutive interior/exterior angles: angles on the same side of a transversal
- Corresponding angles: angles in the same relative position at each intersection with parallel lines
Parent Tip: Review the logic above to help your child master the concept of pairs of angles worksheets.
