1 / 8

5-1 Special Segments in Triangles

5-1 Special Segments in Triangles. Objective : Use medians, angle bisectors, perpendicular bisectors and altitudes to solve problems. RELEVENCE : Construction. Perpendicular Bisector of a Triangle.

jaquelyn-roth
Télécharger la présentation

5-1 Special Segments in Triangles

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. 5-1 Special Segments in Triangles Objective: Use medians, angle bisectors, perpendicular bisectors and altitudes to solve problems. RELEVENCE: Construction

  2. Perpendicular Bisector of a Triangle • A line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. Perpendicular Bisector

  3. Median of a Triangle A segment that joins a vertex of the triangle and the midpoint of the opposite side. Median

  4. Altitude of a Triangle • A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to the line containing that side. Altitude

  5. Angle Bisector of a Triangle • A segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle. Angle Bisector

  6. Example 1: • If SU is a median of ∆RST, find SR. S 4x + 11 T R 3x + 7 U 5x - 13

  7. Example 2: • If GM is an angle bisector, find m∠IGM. I M (x + 12)° G H m∠IGH = (3x – 5)°

  8. Exit Ticket • Find BC if CD is a median of ∆ABC. C 3x + 8 A D B 4x + 5 x + 20

More Related