Diameter Chord Theorem

In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is __________ to the chord.

• parallel

• congruent

• perpendicular

• bisect

• True

• False

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.  

• Not enough information

Find the measure of arc BD.

Use the following diagram. What is the value of x and y?

and in circle A. Find the radius

Which segment is the diameter?

• DE

• BO

• AO

• AB