Perpendicular Bisector Theorems

XY is a perpendicular bisector of AB at point O. Which pair of segments doesn't have to be congruent?

• AO, BO

• AY, BY

• OX, OY

• AX, BX

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.HSG.CO.C.9

By the Perpendicular Bisector Theorem, what is the value of x?

(a)  

Tags

CCSS.HSG.CO.C.9

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

Finish the Perpendicular Bisector Theorem: If CP is the perpendicular bisector of AB, then...

• CA = CB

• AP = PB

• Angle A = Angle B

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

Use the Perp Bisector Theorem to DC (hint...find x first and then plug it back in to DC)

Mathematical Equivalence

ON

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.HSG.CO.C.9

Tags

CCSS.HSG.CO.C.9