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? a. diagram with lines a and b crossed by a transversal t, angles 1 and 2 are shown b. diagram with lines a and b crossed by a transversal t, angles 1 and 2 are shown c. diagram with lines a and b crossed by a transversal t, angles 1 and 2 are shown d. diagram with lines a and b crossed by a transversal t, angles 1 and 2 are shown the correct answer is choose your answer...

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 Option A

In Option A, angle 1 and angle 2 are vertical angles, not corresponding angles.

Step3: Analyze Option B

In Option B, angle 1 and angle 2 are alternate - interior angles, not corresponding angles.

Step4: Analyze Option C

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 $t$, by the corresponding - angle postulate, angle 1 is congruent to angle 2.

Step5: Analyze Option D

In Option D, angle 1 and angle 2 are not corresponding angles.

Answer:

C.