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Which of the following best describes a transversal?

Class 7Lines and AnglesLines and Angles
  • AA line that crosses two or more other lines at distinct points.
  • BA line that is parallel to two other lines.
  • CA line segment connecting the midpoints of two sides of a triangle.
  • DA ray that divides an angle into two equal parts.

Step-by-Step Solution

A transversal is a line that intersects two or more lines (often two parallel lines) at distinct points.
Answer: A) A line that crosses two or more other lines at distinct points.

Key idea: Parallel lines and a transversal

When a transversal crosses two **parallel** lines, eight angles form (four at each intersection). They come in special pairs:

- **Corresponding angles**: same position at each intersection (e.g. both top-left). **Equal**.
- **Alternate interior angles**: between the parallel lines, on opposite sides of the transversal. **Equal**.
- **Alternate exterior angles**: outside the parallel lines, on opposite sides of the transversal. **Equal**.
- **Co-interior (same-side interior) angles**: between the parallel lines, on the same side of the transversal. **Supplementary** (sum to 180°).

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