Transversal intersects two parallel lines:

• If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.
• If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal.
• If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary
• When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.

Line l intersects lines m and n. Therefore, line l is a transversal for lines m and n.

• If a transversal intersects two parallel lines, then each pair of corresponding angles is equal,
(i) ∠ 1 and ∠ 5 (ii) ∠ 2 and ∠ 6
(iii) ∠ 4 and ∠ 8 (iv) ∠ 3 and ∠ 7

• If a transversal intersects two parallel lines, then each pair of alternate interior angles is equal,
(i) ∠ 4 and ∠ 6 (ii) ∠ 3 and ∠ 5

• Alternate exterior angles:
(i) ∠ 1 and ∠ 7 (ii) ∠ 2 and ∠ 8

• If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary.
(i) ∠ 4 + ∠ 5 = 180° (ii) ∠ 3 + ∠ 6 = 180°.

If you would like to contribute notes or other learning material, please submit them using the button below.

Shaalaa.com

What is Transversal to Parallel Lines? [00:15:19]
S
0%