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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.
- Find and mark the MIDPOINT of each side.

Activity Part 2

- Draw a line connecting Point B to the MIDPOINT on

the OPPOSITE SIDE. - Draw a line connecting Point O to the MIDPOINT on

the OPPOSITE SIDE. - Draw a line connecting Point Y to the MIDPOINT on

the OPPOSITE SIDE.

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.

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

Activity 2

- Draw a triangle.
- Label it ? WIG.
- Draw a segment from W to the opposite side so

that it makes a right angle with that side.

What is an Altitude?

- The perpendicular segment from a vertex to the

opposite side. - Altitudes can be drawn OUTSIDE of the triangle.

- Orthocenter point where three altitudes meet

Which line is the median? Which line is the

altitude?

a

b

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

Perpendicular Bisectors

- What is true of AB and AC?

- Circumcenter point where three perpendicular

bisectors meet.

TOGETHER, OPEN YOUR TEXTBOOK

- Page 155 - Classroom Exercises
- 1-6

Partner Practice

- Page 157 19 (a, b, and c)
- TO BE HANDED IN! Make it neat.
- I only need one per group.

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