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Proof Given: m<2 = m<3 Prove: m<1 = m<4 1 2 3 4 2-5 Perpendicular Lines Perpendicular lines – perpendicular lines are lines that intersect to form right angles Theorem 2-4 -- If two lines are perpendicular, then they form congruent adjacent angles Theorem 2-5--If two lines form congruent adjacent angles, then the lines are perpendicular Theorem 2-6 – If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary 2-6 Planning a Proof Theorem 2-7 – If two angles are supplements of the same angle (or congruent angles), then the two angles are congruent Theorem 2-8 – If two angles are complements of the same angle (or congruent angles), then the two angles are congruent