Practice30Create account

Two lines are each parallel to a third line. What is the relationship between the two lines?

Class 9Lines and AnglesGeometry — Lines and Angles
  • AThey are parallel to each other.
  • BThey are perpendicular to each other.
  • CThey intersect at 60°.
  • DThey cannot be related.

Step-by-Step Solution

Lines parallel to the same line are parallel to one another (transitivity of parallelism).
Answer: A) They are parallel to each other.

Key idea: Parallel lines and a transversal — the eight angles

When a transversal cuts two lines, **8 angles** are created (4 at each intersection). They are grouped into four pairs:

**Corresponding angles** — same position relative to each intersection (e.g., upper-left and upper-left).

**Alternate interior angles** — between the two lines, on opposite sides of the transversal.

**Alternate exterior angles** — outside the two lines, on opposite sides of the transversal.

**Co-interior (allied) angles** — between the two lines, on the SAME side of the transversal.

**If the two lines are parallel**:
- Corresponding angles are EQUAL.
- Alternate interior angles are EQUAL.
- Alternate exterior angles are EQUAL.
- Co-interior angles are SUPPLEMENTARY (sum 180°).

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Lines and Angles practice questions

More Class 9 Lines and Angles practice

Assertion (A): A triangle can have at most one right angle. Reason (R): The sum of the…Two adjacent angles on a straight line are such that one is 30° more than twice the…In ΔABC, side BC is extended to D. If ∠ABC = 55° and ∠ACD (exterior) = 120°, find ∠BAC.Two straight railway lines l and m are parallel (arrow marks). A straight road crosses…Lines p and q are parallel (arrow marks) and are cut by a transversal. The two marked…