Question

Angles are created when lines a and b are cut by a transversal, t. These angles are labeled in the diagram.

The lines a and b are horizontal and angle 1 and angle 2 are on the either sides of the transversal and above line a, angles 3 and 4 are on the either sides of the transversal and below line a, angles 5 and 6 are on the either sides of the transversal and above line b, angles 7 and 8 are on the either sides of the transversal and below line b.

Select the claim that is true about lines a and b for all cases.

A.
If lines a and b are cut by a transversal, t, such that , , , and , then the lines must be parallel.
B.
If lines a and b are cut by a transversal, t, such that , , , and , then the lines must be parallel.
C.
If lines a and b are cut by a transversal, t, such that , , , and , then the lines must be perpendicular.
D.
If lines a and b are cut by a transversal, t, such that , , , and , then the lines must be perpendicular.

Answer 1

A. If lines a and b are cut by a transversal, t, such that , , , and , then the lines must be parallel.