Midpoint Theorem and Perpendicular Bisector

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

• endpoint

• corner

• midpoint

• side

Find HG

• 28

• 14

• 41

• 7

Find SV

• 18

• 36

• 21

• 9

Find x, then the measure of JK

• x=10, JK=50

• x=10, JK=100

• x=15, JK=100

• x=15, JK=50

• 1
• 2
• 3
• 4

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

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

Mathematical Equivalence

ON

Identify the perpendicular bisector.

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

• CA = CB

• AP = PB

• Angle A = Angle B