3.6 Prove Theorems About Perpendicular Lines

1. 3.6Prove Theorems About Perpendicular Lines

2. Foldable

3. Thms. Thm 3.8 If 2 lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. Thm 3.9 If 2 lines are perpendicular, then they intersect to form 4 right angles.

4. Thms. Thm 3.10 If 2 sides of 2 adj. acute angles are perpendicular, then the angles are complementary. Thm 3.11 Perpendicular Transversal Thm If a transversal is perpendicular to 1 of 2 // lines, then it is perpendicular to the other.

5. Thms. Thm 3.12 Lines perpendicular to a Transversal In a plane, if 2 lines are perpendicular to the same line, then they are // to each other.

6. Look @ your notes Distance from a point to a line: The length of the perpendicular segment from the point to the line

7. Look @ your notes 1. Given Thm 3.10

8. Look @ your notes Given Thm 3.8 Thm 3.9

9. Look @ your notes r and s are both perpendicular to x, so by Thm 3.12 r//s. x and y are both perpendicular to r, so by Thm 3.12 x//y. x and z are both perpendicular to s, so x//z. y and z are both // to x, by the transitive Property of // lines y//z.

10. Look @ your notes

11. Look @ your notes