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Geometry Section 3.6 Prove Theorems About Perpendicular Lines.

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Presentation on theme: "Geometry Section 3.6 Prove Theorems About Perpendicular Lines."— Presentation transcript:

1 Geometry Section 3.6 Prove Theorems About Perpendicular Lines

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

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

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

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

6 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

7 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.

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


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