1 / 25

Chapter 5 – 1 Bisectors, Medians, and Altitudes of Triangles pp. 269 - 278

If we use this next year and want to be brief on the concurrency points, it would be better to make a table listing the types of segments and the name of the point of concurrency with a diagram. Skip the words and definitions since we are just briefly mentioning each term. DNA. Chapter 5 – 1

livengood
Download Presentation

Chapter 5 – 1 Bisectors, Medians, and Altitudes of Triangles pp. 269 - 278

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. If we use this next year and want to be brief on the concurrency points, it would be better to make a table listing the types of segments and the name of the point of concurrency with a diagram. Skip the words and definitions since we are just briefly mentioning each term.

  2. DNA Chapter 5 – 1 Bisectors, Medians, and Altitudes of Triangles pp. 269 - 278

  3. No Yes No Distance from a point to a line • The length of the perpendicular segment from the point to the line.

  4. A B Perpendicular bisector is a segment, ray, line or plane that is to a segment at its midpoint. l P

  5. A perpendicular bisector of a triangle bisects one of its sides.

  6. Sample problem: Find x and y.

  7. A B P is on the Perpendicular Bisector Theorem Any point on the  bisector of a segment is equidistant from the endpoints of the segment. P

  8. Angle Bisector Theorem Any point on the bisector of an angle is equidistant from the 2 sides of the angle. D B A C

  9. Altitude (height) of a Triangle The  segment from a vertex to the opposite side of the . Vertex

  10. Median of a  A segment connecting a vertex of the triangle and the midpt of the opposite side.

  11. Concurrent Lines 3 or more lines that intersect at the same pt. l P is called the point of concurrency. P m n

  12. The point of concurrency of the 3 of a is called the circumcenter of the

  13. The circumcenter is the point used to circumscribe (circle) the triangle so that the circle passes through each vertex of the .

  14. Incenter The point of concurrency of the 3  bisectors of a . The incenter is the point used to construct an inscribed circle (a circle inside of a triangle).

  15. Orthocenter The point of concurrency of the 3 altitudes of a .

  16. Centroid The point of concurrency of the 3 medians of a . Balance point of the triangle!

  17. Homework: Textbook pp. 274 – 278, problems 2, 6 – 15, and 47 – 50, and 52 - 54.

More Related