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Perpendicular Lines Lesson 2.5 Geometry Honors Page 56 Objective: Lesson Focus The focus of this lesson is the study and use of three theorems about perpendicular lines. Such lines intersect to form right angles. Perpendicular Lines Two lines that intersect to form right angles (90 angles.) Symbol: Example: If AB is perpendicular to CD , then each angle formed is 90. C AB CD A B D Perpendicular Lines Theorem 2-4 If two lines are perpendicular, then they form congruent adjacent angles. C A B D Perpendicular Lines Theorem 2-5 If two lines form congruent adjacent angles, then the lines are perpendicular. C A B D Perpendicular Lines Theorem 2-6 If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. C E A B D Review Quiz Complete with always, sometimes, or never. 1. Perpendicular lines _____ lie in the same plane. 2. Two lines are perpendicular if and only if they _____ form congruent adjacent angles. 3. Perpendicular lines _____ form 60 angles. 4. If exterior sides of two adjacent angles are perpendicular, then the angles are _____ supplementary. 5. If a pair of vertical angles are supplementary, the lines forming the angles are _____ perpendicular. Review Quiz Complete with always, sometimes, or never. 1. Perpendicular lines sometimes lie in the same plane. 2. Two lines are perpendicular if and only if they always form congruent adjacent angles. 3. Perpendicular lines never form 60 angles. 4. If exterior sides of two adjacent angles are perpendicular, then the angles are never supplementary. 5. If a pair of vertical angles are supplementary, the lines forming the angles are always perpendicular. Homework Pages 58 - 60 Problems 4 – 24 even, 25 - 29