Perpendicular Bisector Directed Segment

In isosceles triangle DAC, AD is congruent to AC. Karl knows that the base angles of an isosceles triangle are congruent. Select all the choices that would allow Karl to show that AB is a perpendicular bisector of segment CD.

• AB is an angle bisector.

• DB is congruent to BC.

• AB is congruent to itself.

• AB is perpendicular to DC.

• Angle ABD is congruent to angle ABC.

A line, segment, or ray perpendicular to a segment at its midpoint is called ...

• Perpendicular Bisector

• Parallel Line

• Angle Bisector

• Segment Bisector

Name the construction.

• midpoint

• perpendicular through a point on the line

• perpendicular through a point NOT on the line

• Circumcenter of a right triangle

Which one is the correct construction for a perpendicular bisector?

• 1

• 2

• 3

• 4

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

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

• x = 8

• x = - 8

• x = 16

• x = - 16

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

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.

• 12

• 11.5

• 23

• 6