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If two PARALLEL lines are cut by a transversal, then: - Corresponding angles are - Alternate Interior angles are - Consecutive (Same-Side) Interior angles are - Consecutior angles are (Same-Side) Exterior angles are - And recall from Unit 1, vertical angles are always congruent and angles that form a linear pair are always supplementary.

Ask by Stanley Adkins. in the United States
Feb 25,2025

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When two parallel lines are cut by a transversal: - **Corresponding angles** are congruent. - **Alternate interior angles** are congruent. - **Consecutive (same-side) interior angles** are supplementary. - **Consecutive (same-side) exterior angles** are supplementary. - **Vertical angles** are always congruent. - **Linear pair angles** are always supplementary.

Solution

Here's a summary of the relationships when two parallel lines are cut by a transversal: • Corresponding angles are congruent. • Alternate interior angles are congruent. • Consecutive (same-side) interior angles are supplementary. • Consecutive (same-side) exterior angles are supplementary. Additionally, recall that vertical angles (the angles opposite each other when two lines intersect) are always congruent, and any pair of angles that form a linear pair (adjacent angles whose non-common sides form a straight line) are supplementary.

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When two parallel lines are sliced by a transversal, corresponding angles, those that occupy matching positions at each intersection, are always equal. This means if you find one corresponding angle, you've found its partner! Now, alternate interior angles, which sit on opposite sides of the transversal but within the lines, are equally magical—also congruent to each other! As for consecutive interior angles, these little fellows live on the same side of the transversal and add up to a delightful 180 degrees. So, if you’re ever in a pinch, just know you can keep their sum in check. And while we’re at it, exterior angles that sit on the same side of the transversal can also join the party, similarly summing up to 180 degrees. With vertical angles always being congruent, it’s like a harmonious dance between the angles!

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