5.4 Medians and Altitudes - PowerPoint PPT Presentation

Loading...

PPT – 5.4 Medians and Altitudes PowerPoint presentation | free to download - id: 74f55d-YzRmO



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

5.4 Medians and Altitudes

Description:

5.4 Medians and Altitudes Vocabulary Concurrent- 3 or more lines, rays, or segments that intersect at the same point Median of a Triangle a segment from a ... – PowerPoint PPT presentation

Number of Views:16
Avg rating:3.0/5.0
Slides: 8
Provided by: e2003154
Learn more at: http://www.brookwoodhighschool.net
Category:

less

Write a Comment
User Comments (0)
Transcript and Presenter's Notes

Title: 5.4 Medians and Altitudes


1
5.4 Medians and Altitudes
2
Vocabulary
  • Concurrent- 3 or more lines, rays, or segments
    that intersect at the same point
  • Median of a Triangle a segment from a vertex to
    the midpoint of the opposite side
  • Centroid point of concurrency of 3 medians
  • Altitude of a Triangle the perpendicular
    segment from a vertex to the opposite side or to
    the line that contains the opposite side there
    are 3 in a

3
  • Orthocenter - the point where the 3 altitudes of
    a intersect
  • Theorem 5.8 Concurrency of Medians
  • of a
  • -the medians of a intersect at a point
    that is 2/3 the distance from each vertex to the
    midpoint of the opposite side.
  • Theorem 5.9 Concurrency of Altitudes
  • of a
  • -the lines containing the altitudes of a
  • are concurrent

4
Concurrency of Medians of a Triangle Theorem
Substitute 8 for SQ.
So, QW 4 and SW 12.
5
  • Practice

1. If BG 9, find BF.
2. If BD 12, find AD.
3. If CD 27, find GC.
6
  • Find the orthocenter.

Find the orthocenter P in an acute, a right, and
an obtuse triangle. (Draw 3 altitudesdrop
perpendicular lines from vertex to opposite side.)
SOLUTION
Acute triangle P is inside triangle.
Right triangle P is on triangle.
Obtuse triangle P is outside triangle.
7
Can you answer these??????
  • Look at the and answer the following
  • 1. Is BD a median of ABC?
  • 2. Is BD an altitude ABC?
  • 3. Is BD a perpendicular bisector? B
    B
  • A D C A D C

About PowerShow.com