1 / 12

Special Segments of Triangles

Dive deep into triangle congruence and learn about concurrent lines, points of concurrency, angle bisectors, incenter, perpendicular bisectors, circumcenter, medians, centroids, altitudes, and more. Master the characteristics of special segments within triangles.

vvick
Download Presentation

Special Segments of 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. Special Segments of Triangles Advanced Geometry Triangle Congruence Lesson 4

  2. Concurrent Lines 3 or more lines intersect at a common point Point of Concurrency

  3. Angle Bisector Incenter

  4. Perpendicular Bisector passes through the midpoint perpendicular circumcenter

  5. Median vertex midpoint centroid

  6. Altitude vertex perpendicular orthocenter

  7. Characteristics separates an angle in half Special Segment  vertex midpoint   altitude angle bisector     median perpendicular bisector  

  8. Example: If bisects EDF, F = 80, and E = 30, find DGE.

  9. Example: is a perpendicular bisector. If LM = x + 7 and MN = 3x – 11, find the value of x and LN.

  10. Example: is a median, RV = 4x + 9, and VT = 7x – 6. Find the value of x and RV.

  11. THEOREM The centroid of a triangle is located two thirds of the distance from a vertex to the midpoint of the side opposite the vertex on a median.

  12. Example: Points X, Y, and Z are midpoints. Find a, b, and c.

More Related