perpendicular, four right angles. If Then If are complementary. two sides of two the angles are adjacent acute angles complementary. are perpendicular, Perpendicular Transversal Theorem: If Then a transversal is perpendicular to one of two it is perpendicular to the other. parallel lines, and Lines Perpendicular to a Transversal Theorem: In a plane, if Then two lines are perpendicular to the same line, they are parallel to each other. Show: In the figure, are congruent. What can you conclude about ? Ex 1: Determine which other lines, if any, must be perpendicular. Explain your reasoning. Ex 2: By the Corr. Angles Post Conv.,. So, Perp. Transversal Theorem Is ? Is ? Explain your reasoning. Ex 3: Yes, by the Lines Perpendicular to a Transversal Theorem Yes,: by the Lines Perpendicular to a Transversal Theorem, so by the Perpendicular Transversal Theorem
perpendicular, four right angles. If two sides of two adjacent acute angles are perpendicular, Then the angles are complementary. If are complementary. Perpendicular Transversal Theorem: If a transversal is perpendicular to one of two parallel lines, Then it is perpendicular to the other. and Lines Perpendicular to a Transversal Theorem: In a plane, if two lines are perpendicular to the same line, Then they are parallel to each other. Show: Ex 1: In the figure, are congruent. What can you conclude about ? Ex 2: Determine which other lines, if any, must be perpendicular. Explain your reasoning. By the Corr. Angles Post Conv.,. So, Perp. Transversal Theorem Ex 3: Is ? Is ? Explain your reasoning. Yes, by the Lines Perpendicular to a Transversal Theorem Yes,: by the Lines Perpendicular to a Transversal Theorem, so by the Perpendicular Transversal Theorem
student_notes_-__geom_-_key_-_chapter_3_-_larson_cc1_1.docx