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Proof #_____ Math IIAC Name ____________________________ THM: If two angles are complementary to the same angle, then they have equal measures. (Two angles complementary to the same angle are equal.) Given: Picture: 2 3 1 Prove: Proof #_____ Math IIAC Name _________________________ THM: If two angles are complementary to angles of equal measure then the two angles are equal. (Two angles complementary to equal angles are equal.) Given: Picture: 2 1 Prove: 3 4 Proof #_____ Math IIAC Name ____________________________ THM: If two angles are supplementary to the same angle, then they have equal measures. (Two angles supplementary to the same angle are equal.) Given: Picture: a b c Prove: Proof #_____ Math IIAC Name _________________________ THM: If two angles are supplementary to angles of equal measure then the two angles are equal. (Two angles supplementary to equal angles are equal.) Given: Picture: c a Prove: b d Proof #_____ Math IIAC Name ____________________________ THM: If two adjacent angles are formed by perpendicular lines, then the angles have equal measure. (Two adjacent angles formed by perpendicular lines are equal.) Given: Picture: l Prove: m 1 2 Proof #_____ Math IIAC Name _________________________ THM: If two lines form adjacent angles with equal measure, then the lines are perpendicular. (If two lines form equal, adjacent angles, the lines are perpendicular.) Given: Picture: R c d A Prove: Q H Proof #_____ Math IIAC Name _________________________ THM: If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. Given: Picture: O P 1 Prove: E 2 A Proof #_____ Math IIAC Name _________________________ THM: If two angles are right angles, then they have equal measure. (All right angles are equal.) Given: Prove: Picture: E A Proof #_____ Math IIAC Name _________________________ THM: If two angles are vertical, then they have equal measure. (Vertical angles are equal.) Given: Picture: D 1 A Prove: 2 B C 3 E