Perpendicular Bisectors and Angle Bisectors

The point of concurrency of the 3 perpendicular bisectors of a triangle is called the ___?

• Midsegment

• Incenter

• Circumcenter

• Centriod

The figure is an example of a(n) ...

• angle bisector

• perpendicular bisector

• median

• midsegment

The figure is an example of a(n) ...

• altitude 

• perpendicular bisector

• midsegment

• angle bisector

• JM = 5

• JM = 10

• JM = 12

• JM = 24

Use the figure and the given information to find the indicated measure. ZX​ is the perpendicular bisector of  WY​, WZ=4n−13​ , and  YZ=n+17​ .

• 27

• 54

• 7

• 13

If line m is the perpendicular bisector of segment AB, find the value of x.

• x = 8

• x = - 8

• x = 16

• x = - 16

In the given proof, what is the reason for step 1?

• Angles that form a linear pair are supplementary.

• Angles of Equal Measure are Congruent

• Reflexive Property of Congruence

• Definition of a Perpendicular Bisector

• 12

• 11.5

• 23

• 6

If ZT is a perpendicular bisector, what conclusions can be made?

Answer explanation

If ZT is a perpendicular bisector, then XT is perpendicular to ZT and XT is congruent to YT.

If CB is a perpendicular bisector, find the value of x.