Centers of triangles

Centers 0f Triangles:
Medians and Altitude

Centers of Triangles

​What is an median?

A median is a segment joining a vertex to the midpoint of the opposite side.

Open Ended

List the medians.

Center of Triangles

What is an ​centriod?

The three medians of a triangle intersect at a point called the centriod.

Multiple Choice

What point is the centriod?

• P

• F

• D

• E

Centers of Triangles

​Special properties of medians:

1. AP= 2 PE

2. PE= ½ AP

3. AP= ⅔ AE

4. PE= ⅓ AE

Multiple Choice

What is the measure of KM?

• 10

• 26

• 11

• 9

Multiple Choice

What is the measure of NL?

• 13

• 26

• 11

• 9

Multiple Choice

What is the measure of RX?

• 18

• 14

• 12

• 16

Multiple Choice

What is the measure of KL?

• 13

• 26

• 11

• 9

Multiple Choice

What is the measure of TX?

• 18

• 9

• 12

• 16

Multiple Choice

What is the measure of AF?

• 32

• 48

• 54

• 81

Multiple Choice

What is the measure of BG?

• 32

• 48

• 54

• 81

Multiple Choice

What is the measure of AE?

• 32

• 48

• 54

• 81

Centers of Triangles

​What is an altitude?

1. An altitude is a segment joining a vertex to the opposite side so it is perpendicular to that side.

2. Altitudes can be inside, outside or a side of a triangle.

Poll

What is this a picture of a median or altitude?

• Altitude

• Median

Center of Triangles

What is an ​orthorcenter?

The three altitudes of a triangle intersect at a point called the orthocenter.

Multiple Choice

If P is the orthocenter of Δ, AB=13, BF=9 and FC=5.6, Find the perimeter of ΔABC.

Round to the nearest tenth.

• 38

• 38.4

• 38.5

• 38.6