Parallel lines s and t are cut by a transversal r.

Question

Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.

Which angles are corresponding angles?
Angle3 and Angle7
Angle1 and Angle7
Angle4 and Angle6
Angle1 and Angle8

Answer 1

Corresponding angles are angles that are in the same position relative to the two parallel lines and the transversal.

For lines s and t cut by transversal r:

• Angle 1 (top left of line s)

• Angle 2 (top right of line s)

• Angle 3 (bottom left of line s)

• Angle 4 (bottom right of line s)

• Angle 5 (top left of line t)

• Angle 6 (top right of line t)

• Angle 7 (bottom left of line t)

• Angle 8 (bottom right of line t)

The pairs of corresponding angles are:

• Angle 1 and Angle 5
• Angle 2 and Angle 6
• Angle 3 and Angle 7
• Angle 4 and Angle 8

Among the options given, the angles that are corresponding angles are Angle 3 and Angle 7.