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If two parallel lines are cut by a transversal, then each pair of corresponding angle are _______.

A) Complementary
B) Supplementary
C) Congruent
D) Parallel"

1 Answer

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Final answer:

When two parallel lines are cut by a transversal, the corresponding angles are congruent, meaning they have the same measure.

Step-by-step explanation:

If two parallel lines are cut by a transversal, then each pair of corresponding angles are congruent. This is a fundamental concept in geometry dealing with parallel lines and angles created by a transversal - a line that cuts across two or more lines.

When a transversal cuts two parallel lines, several pairs of angles are formed, such as alternate interior angles, alternate exterior angles, and corresponding angles. Corresponding angles lie on the same side of the transversal and in corresponding positions relative to the two lines. According to the Corresponding Angles Postulate, when two parallel lines are cut by a transversal, the corresponding angles are equal in measure. Therefore, the answer to the question is C) Congruent.

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