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3.2 Proof and Perpendicular Lines. Let ’ s Review. Theorem 2.6 -Vertical Angles Theorem. Vertical angles are congruent …. Given : <5 & <6 are a linear pair ; <6 & <7 are a linear pair . Prove : m<5=m<7. Theorem 3.1 (p137).
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Theorem 2.6-Vertical Angles Theorem • Vertical angles are congruent…. • Given: <5 & <6 are a linear pair; <6 & <7 are a linear pair. • Prove: m<5=m<7
Theorem 3.1 (p137) • If two lines intersect to form a linear pair of congruent angles, • Then the lines are perpendicular.
Theorem 3.2 • If two sides of two adjacent acute angles are perpendicular, • Thenthe angles are complementary.
Theorem 3.3 • If two lines are perpendicular, • Then they intersect to form four right angles.