1. Medians
Picture:
Both sides are congruent
Median
vertex to midpoint

2. How many medians can a triangle have?
vertex to midpoint

3. The intersection of the medians is called the CENTROID.
Draw the Picture:
How many medians does a triangle have?

4. Concurrent:
When three or more lines or segments meet at the same point.

5. Quick Assessment What is a median? What is a centroid?
11/13/2018
Quick Assessment
What is a median?
What is a centroid?
What does concurrent mean?
What is the vertex?
What is a midpoint?
EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

6. vertex to opposite side and perpendicular
Altitude
Picture:
Altitude
vertex to opposite side and perpendicular

7. The altitude is the “true height” of the triangle.
11/13/2018
Altitude
The altitude is the “true height” of the triangle.
EQ: What are the differences between medians, altitudes, and perpendicular bisectors?

8. 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

9. Orthocentre Altitudes Start at a vertex and form a 90° angle
with the line containing the opposite side.
Orthocentre

10. The orthocentre can be located in the triangle, on the triangle or
outside the triangle.
Obtuse
Right
Legs are altitudes

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

12. a 90° angles and bisect the side.
Perpendicular Bisectors
A Perpendicular bisector of a side does not have to start at a vertex. It will form
a 90° angles and bisect the side.
The intersection of the perpendicular bisectors is called the Circumcentre.

13. Tell whether each red segment is a perpendicular bisector of the triangle.NO NO
YES

14. Give the best name for AB| | | | | |
Median Altitude None Angle Perp
Bisector Bisector

15. Can you have both?
Can it be both an altitude and perpendicular bisector?

16. Can you have both?
Can it be both an altitude and perpendicular bisector?

17. 11/13/2018
Quick Assessment
What is the difference between altitude and perpendicular bisector?
What is an altitude?
What is a perpendicular bisector?
How can the segment be both- altitude and perpendicular bisector?
EQ: What are the differences between medians, altitudes, and perpendicular bisectors?