Question

in each diagram, line a is parallel to line b. in which diagram does the corresponding angle postulate justify angle 1 being congruent to angle 2?
o a.
1
2
t
o b.
1
2
t
c.
1
2
t
o d.
1
2
t

Explanation:

Step1: Recall corresponding - angle postulate

The corresponding - angle postulate states that if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

• In option A, angle 1 and angle 2 are vertical angles, not corresponding angles.
• In option B, angle 1 and angle 2 are alternate interior angles.
• In option C, angle 1 and angle 2 are corresponding angles. When line a is parallel to line b and they are cut by transversal t, angle 1 and angle 2 are in the same relative position (both above the parallel lines and to the left of the transversal).
• In option D, angle 1 and angle 2 are not corresponding angles.

Answer:

C.