Perpendicular Bisectors of Triangles

Find the length of AD

• 2

• 4

• 6

• 8

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

• Midsegment

• Incenter

• Circumcenter

• Centroid

Which of the following describes a perpendicular bisector of a triangle?

• A segment that is perpendicular to the side of a triangle at its midpoint.

• A segment with endpoints at the vertex and midpoint of the opposite side.

• A segment that connects two midpoints of two sides.

• A segment that connects the vertex and the opposite side at 90 degrees. 

If GC is 11, what is AG?

• 11

• 9

• cannot determine

• 5.5

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

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

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

• x = 8

• x = - 8

• x = 16

• x = - 16

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.