CK-12 Geometry-Concepts

5.2. Perpendicular Bisectors http://www.ck12.org

Answers:

1. By the Perpendicular Bisector Theorem, both segments are equal. Set up and solve an equation.

x+ 6 = 22

x= 16

2.

←→

STis not necessarily the perpendicular bisector ofXYbecause not enough information is given in the diagram.
There is no way to know from the diagram if

←→

STwill extend to make a right angle withXY.

Interactive Practice

MEDIA

Click image to the left for use the URL below.

URL: http://www.ck12.org/flx/render/embeddedobject/113027

Explore More

1.mis the perpendicular bisector ofAB.

a. List all the congruent segments.

b. IsConAB? Why or why not?

c. IsDonAB? Why or why not?

For Question 2, determine if

←→

STis the perpendicular bisector ofXY. Explain why or why not.

2.

For Questions 3-7, consider line segmentABwith endpointsA( 2 , 1 )andB( 6 , 3 ).