Loading in 5 sec....

5.2 Perpendicular and Angle BisectorsPowerPoint Presentation

5.2 Perpendicular and Angle Bisectors

- 174 Views
- Uploaded on

Download Presentation
## PowerPoint Slideshow about ' 5.2 Perpendicular and Angle Bisectors' - aladdin-horton

**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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript

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.

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.

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

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.

Angle Bisector Theorem

- If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.

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.

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

More Practice!!!!!

- Homework – Textbook p. 296 – 297 #6 – 22.

Download Presentation

Connecting to Server..