1 / 10

Theorems about Perpendicular Lines

Theorems about Perpendicular Lines. Section 3.6. Theorems. If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. Theorems. If two lines are perpendicular, then they intersect to form four right angles. Theorems.

brie
Télécharger la présentation

Theorems about Perpendicular Lines

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Theorems about Perpendicular Lines Section 3.6

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

  3. Theorems • If two lines are perpendicular, then they intersect to form four right angles.

  4. Theorems • If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

  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.

  7. Slopes • Parallel lines have the same slope • Perpendicular lines have the negative reciprocal slope.

  8. Distance • The distance from a point to a line is the length of the perpendicular segment from the point to the line.

  9. Example • Graph the line y = x + 1. What point on the line is the shortest distance from the point (4, 1)? What is the distance?

  10. Assignment • pg. 194 #5-7, 13, 15-17, 23, 24, 31 • Go back and look at your notes 1. Underline or highlight important terms 2. Write questions to yourself in the left-hand column next to main ideas 3. Cross out or erase any unneeded information and fill in any gaps that you missed. 4. Write a 2-4 sentence summary at the bottom of your notes.

More Related