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Parallel and Perpendicular Lines Proofs and Statements Mr. Durkin WAYS TO PROVE LINES ARE PERPENDICULAR: 1. If two intersecting lines form congruent adjacent angles, the lines are perpendicular. 2. When two lines or segments form right angles, they are perpendicular. 3. When 2 points on one line or segment, each of which is equidistant From the endpoints of the other line segment, they are perpendicular to each other. WAYS TO PROVE LINES ARE PARALLEL: 1. If 2 lines are each parallel to a third line, they are parallel to Each other. 2. When 2 lines are cut by a transversal and a pair of alternate Interior angles are congruent, the lines are parallel. 3. When 2 lines are cut by a transversal and a pair of Corresponding angles are congruent, the lines are parallel. 4. When 2 lines are cut by a transversal and a pair of Interior angles on the same side of the transversal are supplementary, the lines are parallel. PROVING RIGHT TRIANGLES BY HYPOTENUSE/LEG: A Right Triangle is congruent to another Right Triangle if the Hypotenuse and one leg of each triangle are congruent. THE SUM OF INTERIOR ANGLES OF ANY POLYGON: The sum of the interior angles of any polygon = 180(n-2), Where n is the number of sides in the polygon.