Radii as Perpendicular Bisectors of Chords

Which figure shows a set of perpendicular lines?

• Figure 1
• Figure 2
• Figure 3
• Figure 4

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Fill in the blank:

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

• endpoint

• circumferential point

• midpoint

• radius

Tags

CCSS.HSG.CO.C.9

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 AC. (Do not include units.)

(a)  

Tags

CCSS.HSG.C.A.2

Find RS.

(a)  

Tags

CCSS.HSG.C.A.2

If line segment DE is the perpendicular bisector of line segment AB, what must be true? (Check all correct options)

• Line segment DE is the radius of the circle.

• Arc EA is congruent to arc EB.

• Line segment CA is congruent to line segment CB.

• Line segment DE is longer than chord AB.

Tags

CCSS.HSG.CO.C.9

What is this called?

• Diameter

• Radius

• Chord

• Sector

Solve for x

• 6
• 7
• 8
• 9

Tags

CCSS.HSG.C.A.2

If X is the midpoint of chord UV, what must be true? (Check all that apply)