1 / 10

Special Segments in Triangles Lesson 5.2-5.4

Special Segments in Triangles Lesson 5.2-5.4. Special Segments in Triangles. What. YOU"LL LEARN. To identify and use medians, altitudes, angle bisectors, and perpendicular bisectors in a triangle. WHY. IT"S IMPORTANT.

kory
Télécharger la présentation

Special Segments in Triangles Lesson 5.2-5.4

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 in TrianglesLesson 5.2-5.4

  2. Special Segments in Triangles What YOU"LL LEARN To identify and use medians, altitudes, angle bisectors, and perpendicular bisectors in a triangle. WHY IT"S IMPORTANT You can use the special segments in triangles to solve problems involving engineering, sports, and physics.

  3. Definitions Perpendicular Bisector: A line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side.

  4. Definitions Median A segment that connects a vertex of a triangle to the midpoint of the side opposite the vertex.

  5. Definitions Altitude A line segment with 1 endpoint at a vertex of a triangle and the other on the line opposite that vertex so that the line segment is perpendicular to the side of the triangle.

  6. Perp Bisector EquidistanceTHEOREM Any point on a perpendicular bisector of a segment is equidistant from the endpoints of the segment

  7. Converse of PerpEquidistantTHEOREM Any point equidistant from the endpoints of a segment lies on the perpendicular bisector of the segment

  8. EXAMPLE 1 SGB has vertices S(4,7) G(6, 2) and B(12, -1). a. Determine the coordinates of point J on GB so that SJ is a median of SGB . b. Point M has coordinates (8, 3). Is GM an altitude? S . . . M . G J B

  9. L M N J K P O Q EXAMPLE 2 True or False: ON is a median of LOK MP is a median of JLO MO is a perpendicular bisector of JLO

  10. Assignment

More Related