1 / 9

5.2 Perpendicular and Angle Bisectors

5.2 Perpendicular and Angle Bisectors. A point is equidistant from two objects if it is the same distance from the objects. Perpendicular Bisector Theorem. If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

Download Presentation

5.2 Perpendicular and Angle Bisectors

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. 5.2 Perpendicular and Angle Bisectors • A point is equidistant from two objects if it is the same distance from the objects.

  2. Perpendicular Bisector Theorem • If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.

  3. Converse of the Perpendicular Bisector Theorem • If a point is equidistant from the endpoints of a segment, then it is on the perpendicular bisector of the segment.

  4. Using the Perpendicular Bisector Theorem • What is the length of segment AB? BA = BC 4x = 6x – 10 -2x = -10 x = 5 AB = 4x AB = 4 (5) AB = 20

  5. 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. • Is also the length of the shortest segment from the point to the line.

  6. Angle Bisector Theorem • If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

  7. Converse of the Angle Bisector Theorem • If a point in the interior of an angle is equidistant from the sides of the angle, then the point is on the angle bisector.

  8. Using the Angle Bisector Theorem • What is the length of segment RM? RM = RP 7x = 2x + 25 5x = 25 x = 5 RM = 7x RM = 7 (5) RM = 35

  9. More Practice!!!!! • Homework – Textbook p. 296 – 297 #6 – 22.

More Related