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### 20 Cards in this Set

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 Theorem 3-1: If two parallel planes are cut by a third plane, then the lines of intersection are parallel. Theorem 3-2: If two parallel lines are cut by a transversal, then alternate interior angles are congruent. Theorem 3-3: If two parallel lines are cut by a transversal, then same side interior angles are supplementary. Theorem 3-4: If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line as well. Theorem 3-5: If two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel. Theorem 3-6: If two lines are cut by a transversal and same side interior angles are supplementary, then the lines are parallel. Theorem 3-7: In a plane, two lines perpendicular to the same line are parallel. Theorem 3-8: Through a point outside a line, there is exactly one line parallel to the given line. Postulate 10: If two parallel lines are cut by a transversal, then corresponding angles are congruent. Postulate 11: If two lines are cut by a transversal, and corresponding angles are congruent, then the lines are parallel. Theorem 3-9: Through a point outside of a line, there is one exactly one line perpendicular to the given line. Theorem 3-10: Two lines parallel to a third line are parallel to each other. Theorem 3-11: The sum of the measures of the angles of a triangle are 180 degrees. Theorem 3-11 corollary 1: If two angles of one triangle are congruent to two angles of another, then the third angles are congruent. Theorem 3-11 corollary 2: Each angle of an equiangular triangle has a measure of 60 degrees. Theorem 3-11 corollary 3: In a triangle, there can be at most one right or obtuse angle. Theorem 3-11 corollary 4: The acute angles of a right triangle are complementary. Theorem 3-12: The measure of an exterior angle of a triangle equals the sum of the measures of the two remote interior angles. Theorem 3-13: The sum of the measures of the angles of a convex polygon with n sides is (n-2)180. Theorem 3-14: The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360 degrees.