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.

Tags

CCSS.HSG.CO.C.9

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

• Perpendicular Bisector

• Parallel Line

• Angle Bisector

• Segment Bisector

Tags

CCSS.HSG.CO.A.1

Name the construction.

• midpoint

• perpendicular through a point on the line

• perpendicular through a point NOT on the line

• Circumcenter of a right triangle

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.SRT.B.5

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

• x = 8

• x = - 8

• x = 16

• x = - 16

Tags

CCSS.HSG.CO.C.9

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

Tags

CCSS.HSG.CO.C.9

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.

Tags

CCSS.HSG.CO.C.9

• 12

• 11.5

• 23

• 6

Tags

CCSS.HSG.CO.C.9