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Medians.

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Presentation on theme: "Medians."— Presentation transcript:

1 Medians

2 Medians Picture: Both sides are congruent Median vertex to midpoint

3 How many medians can a triangle have?
3 Median vertex to midpoint

4 11/18/2018 Midpoint- If you have a midpoint- then the segments on both sides are CONGRUENT! That is why you will see the “tick marks” For the measure of the entire line- add both sides!

5 M D P C 9 N 1. What is NC if NP = 18? 2. If DP = 7.5, find MP. 15

6 So if you are given the length of the entire side, how do you find a missing segment?
If you are given the length of a segment, how to you find the entire side? If you have a median- what do you know about each side?

7 vertex to opposite side and perpendicular
Altitude Picture: Altitude vertex to opposite side and perpendicular

8 The altitude is the “true height” of the triangle.
11/18/2018 Altitude The altitude is the “true height” of the triangle.

9 The altitude is the “true height” of the triangle.
Tell whether each red segment is an altitude of the triangle. The altitude is the “true height” of the triangle. YES NO YES

10 Perpendicular Bisector
Both sides are congruent- make sure you see this or it is NOT a perpendicular bisector Picture: Perpendicular Bisector midpoint and perpendicular

11 Tell whether each red segment is an perpendicular bisector of the triangle.
NO NO YES


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