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4.04 Angle and perpendicular bisectors

Adaptive
Worksheet

Interactive practice questions

Consider the following triangle construction.

a

Identify the type of construction.

Median

A

Altitude

B

Perpendicular bisector

C

Angle bisector

D
b

The three perpendicular bisectors of a triangle are concurrent at which triangle center?

Incenter

A

Circumcenter

B

Centroid

C
Easy
1min

Consider where the incenter is located for different types of triangles.

Medium
1min

The point $X$X is the incenter of $\triangle BAC$BAC.

It is given that $XD=x+7$XD=x+7 and $XE=3x-1$XE=3x1.

Medium
3min

Point $P$P is the incenter of $\triangle MNO$MNO.

If $a$a represents the length of $\overline{JP}$JP, solve for $a$a.

Medium
2min
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