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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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For a small fee you can get the industry's best online privacy or publicly promote your presentations and slide shows with top rankings. But aside from that it's free. We'll even convert your presentations and slide shows into the universal Flash format with all their original multimedia glory, including animation, 2D and 3D transition effects, embedded music or other audio, or even video embedded in slides. All for free. Most of the presentations and slideshows on PowerShow.com are free to view, many are even free to download. (You can choose whether to allow people to download your original PowerPoint presentations and photo slideshows for a fee or free or not at all.) Check out PowerShow.com today - for FREE. There is truly something for everyone!

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