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Multiple Choice

Which of the following is a correct consequence of two parallel lines being cut by a transversal?

When two parallel lines are cut by a transversal, corresponding angles are congruent. This happens because the parallel lines keep the transversal cutting them in the same orientation, so the angles in matching positions relative to the intersections must have the same measure. Picture the angle in the top-right position at the first intersection and the angle in the top-right position at the second intersection—they must be equal. That’s why the statement about corresponding angles being congruent is the correct consequence. The other ideas mix up angle relationships: alternate interior angles are equal (not supplementary) when lines are parallel; same-side interior angles are supplementary (their measures add to 180°) but aren’t guaranteed to be acute; vertical angles are congruent (not supplementary).

When two parallel lines are cut by a transversal, corresponding angles are congruent. This happens because the parallel lines keep the transversal cutting them in the same orientation, so the angles in matching positions relative to the intersections must have the same measure. Picture the angle in the top-right position at the first intersection and the angle in the top-right position at the second intersection—they must be equal.

That’s why the statement about corresponding angles being congruent is the correct consequence. The other ideas mix up angle relationships: alternate interior angles are equal (not supplementary) when lines are parallel; same-side interior angles are supplementary (their measures add to 180°) but aren’t guaranteed to be acute; vertical angles are congruent (not supplementary).