1 / 12

Medians and Altitude

Medians and Altitude. Chapter 5 Section 4. Objective. Students will identify properties of medians and altitudes of a triangle. Median of a Triangle. A segment whose endpoints are a vertex and the midpoint of the opposite side. Concurrency of Medians Theorem (5-8).

nodin
Download Presentation

Medians and Altitude

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. Medians and Altitude Chapter 5 Section 4

  2. Objective • Students will identify properties of medians and altitudes of a triangle.

  3. Median of a Triangle • A segment whose endpoints are a vertex and the midpoint of the opposite side.

  4. Concurrency of Medians Theorem (5-8) • The medians of a triangle are concurrent at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side (median).

  5. Centroid of a Triangle • The point of concurrency of the medians. • Also called the center of gravity of a triangle.

  6. Turn to Page 310… • Look at Problem 1 • Try the “Got It” problem of Problem 1 on your own.

  7. Altitude of a Triangle • A perpendicular segment from a vertex of a triangle to the opposite side.

  8. Concurrency of Altitudes Theorem (5-9) • The lines that contain the altitudes of a triangle are concurrent

  9. Orthocenter • The point of concurrency of the Altitudes of a triangle. • Can be inside, on, or outside of the triangle. • Acute triangle = inside • Obtuse triangle = outside • Right triangle = on the triangle

  10. Turn to Page 312… • Look at the Concept Summary box at the top of the page • Check your chart

  11. On page 112…. • Try # 1-7 on your own.

  12. Exit Slip • What is an Orthocenter? • What is a Centroid? • What is an Incenter? • What is a Circumcenter? • What is the Concurrency of Medians Theorem?

More Related