Geometry Section 3.6 Prove Theorems About Perpendicular Lines.

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Presentation transcript:

Geometry Section 3.6 Prove Theorems About Perpendicular Lines

Theorem If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. 12

Theorem If two lines are perpendicular, then they intersect to form four right angles 12 34

Theorem If two sides of two adjacent acute angles are perpendicular, then the angles are complementary 1 2

Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other

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 mn

Distance from a point to a line The distance from a point to a line is the length of the perpendicular segment from the point to the line. This perpendicular segment is the shortest distance between the point and the line.

Assignment Section 3.6 Page 194 Problems #2, 6, 8, 16, 18, 20, 24, 26, 35-38

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