Section 4.7 Medians, Altitudes, and Perpendicular Bisectors - PowerPoint PPT Presentation

Loading...

PPT – Section 4.7 Medians, Altitudes, and Perpendicular Bisectors PowerPoint presentation | free to download - id: 74f564-YWM4M



Loading


The Adobe Flash plugin is needed to view this content

Get the plugin now

View by Category
About This Presentation
Title:

Section 4.7 Medians, Altitudes, and Perpendicular Bisectors

Description:

Section 4.7 Medians, Altitudes, and Perpendicular Bisectors WARM UP Activity Part 1 Draw a triangle. Label it BOY. Measure each side of the triangle. – PowerPoint PPT presentation

Number of Views:84
Avg rating:3.0/5.0
Slides: 15
Provided by: korga
Category:

less

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

Title: Section 4.7 Medians, Altitudes, and Perpendicular Bisectors


1
Section 4.7 Medians, Altitudes, and
Perpendicular Bisectors
WARM UP
2
Activity Part 1
  1. Draw a triangle.
  2. Label it ?BOY.
  3. Measure each side of the triangle.
  4. Find and mark the MIDPOINT of each side.

3
Activity Part 2
  1. Draw a line connecting Point B to the MIDPOINT on
    the OPPOSITE SIDE.
  2. Draw a line connecting Point O to the MIDPOINT on
    the OPPOSITE SIDE.
  3. Draw a line connecting Point Y to the MIDPOINT on
    the OPPOSITE SIDE.

4
What is a Median?
  • A segment from a vertex to the midpoint of the
    opposite side.
  • Always three medians.
  • See the medians for a given triangle.

5
What is a Centroid?
  • Centroid the point where all three medians meet
  • The medians of a triangle divide one another into
    ratios of 21.

x 6
x
y
3
11
y 5.5
6
Activity 2
  1. Draw a triangle.
  2. Label it ? WIG.
  3. Draw a segment from W to the opposite side so
    that it makes a right angle with that side.

7
What is an Altitude?
  • The perpendicular segment from a vertex to the
    opposite side.
  • Altitudes can be drawn OUTSIDE of the triangle.

8
  • Orthocenter point where three altitudes meet

9
Which line is the median? Which line is the
altitude?
a
b
10
What are Perpendicular Bisectors?
  • A line or ray that is perpendicular to the
    segment at its midpoint.
  • Does NOT have to start at a VERTEX

11
Perpendicular Bisectors
  • What is true of AB and AC?

12
  • Circumcenter point where three perpendicular
    bisectors meet.

13
TOGETHER, OPEN YOUR TEXTBOOK
  • Page 155 - Classroom Exercises
  • 1-6

14
Partner Practice
  • Page 157 19 (a, b, and c)
  • TO BE HANDED IN! Make it neat.
  • I only need one per group.
About PowerShow.com