Midsegments
Perpendicular/Angle Bisectors, Medians, Altitudes
Centers of Triangles
Inequalities in Triangles
Finding the Centers
100

The midsegment is _____ as long as the side opposite to it.

Half

100

Line AM is called what?

Median

100

The intersection of the perpendicular bisectors is called...

circumcenter
100

Can you create a triangle with the following side lengths?

10.51, 12.5, 23.01

No. 

100

Find the circumcenter of a triangle with the following coordinates: 

(2,2)

200

The midsegment and the side opposite to it are...

Parallel

200

This line's endpoints are the vertex and the midpoint of the side opposite the vertex.

Median

200

The center of this triangle is called...

Centroid

200

Given the value of two sides, find the range of values for the third side that could make this a triangle.

16.1, 17.2

1.1 < x < 33.3

200

Find the orthocenter of a triangle with the following coordinates: 

(0,-2)

300

Find x.

x = 13

300

What do we call h?

Altitude

300

Suppose FI = EI = DI. What is the center of this triangle?

Incenter

300

Order the sides from greatest to least:

EF > GF > GE
300

Find the centroid of a triangle with the following coordinates: 

(4/3, 2/3)

400

Find x. 

x = 2

400

What is the length of AD if BC is a perpendicular bisector?

AD = 104

400

Suppose OA = OB = OC. What is the center of this triangle?

Circumcenter

400

In triangle ABC, m<A=56°, m<B=82° and m<C=42° List the sides in order from smallest to largest. 

AB, BC, AC

500

Find x and y.

x = 50, y = 70

500

In what kind of triangle would the Perpendicular/Angle Bisectors, Medians, and Altitudes be the same?

An equilateral triangle.

500

Suppose D is the centroid and 12 is the length of DC. Find the length of ED and EC.

ED=6

EC=18

500

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