Perpendicular Bisector Chords

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

In a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct

In a circle, the perpendicular bisector of a chord:

• is tangent to the circle

• is the diameter

• is a right triangle

• eats frosted flakes for dinner

Find the value of x.

• 15

• 13

• 3

• 6

What is the value of x?

• 10

• 4

• 5

• 8

Use the diagram of circle A. Which expression and deductive reasoning can be used to find the value of y?

Determine if the following expression is true or false. Why?

• The expression  $3x-4=5x-18$  is true because if a radius is perpendicular to a chord, it is the bisector of the chord and its arcs.  

Find the value of x.

• 16

• 4

• 8

• 12

Find the measure of arc BD.

The perpendicular from the center of a circle to a chord is the ____________ of the chord.

• intercepted arc

• bisector

• radius

• diameter