The pairs of congruent angles that are formed when a transversal cuts across two parallel lines are:
- Corresponding angles
- Vertical angles
- Alternate exterior angles
- Alternate interior angles
Recall:
- A transversal line is a straight line that intersects two parallel lines.
- For example, the diagram given shows two parallel lines (lines m and n) that are cut across by a transversal (line w).
- 8 angles are formed.
Thus, the pairs of congruent angles that are formed as shown in the diagram below are:
Corresponding angles: <2 and <6; <4 and <8; <1 and <5; <3 and <7
Vertical angles: <1 and <4; <2 and <3; <6 and <7; <5 and <8
Alternate exterior angles: <2 and <7; <4 and <5
Alternate interior angles: <1 and <8; <3 and <6
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