# Circles

# Circles: You Are Chordially Invited Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Circles**Q. Which of the following is a false statement?

A diameter of a circle is also a chord of the same circle.

A radius of a circle can also be a chord of the same circle.

A central angle is never congruent to its associated chord.

In congruent circles, if two chords are congruent, then their associated central angles are congruent.

In congruent circles, if two central angles are congruent, then their associated chords are congruent.

Q. ⊙

*O*has a radius of 2 cm. What is the length of the longest chord of ⊙*O*you can possibly draw?1 cm

2 cm

4 cm

8 cm

There is no limit; you can draw a chord as long as you like

Q. In the figure below,

*AC*and*BD*are diameters of ⊙*O*.*AB***must**be congruent to what other segment?

*BC*

*CD*

*DA*

*AC*

None of the above

Q. An angle is inscribed in a circle and intercepts an arc with measure 78°. What is the measure of the inscribed angle?

39°

78°

156°

90°

We don't have enough information to find the inscribed angle's measure

Q. In the figure below, points

*A*,*B*, and*C*are on ⊙*O*. Which of the following must be true?

*AC*=

*AB*

*AC*=

*BC*

*AC*= 2 ×

*AO*

m∠

*AOB*= 2 × m∠*ACB*m∠

*AOB*= 360° – m∠*ACB*Q. In the figure below, points

*A*,*B*, and*C*are on the circle and*AB*=*BC*=*CA*. What is the measure of arc*AB*?

30°

60°

90°

120°

There is not enough information to find the measure of arc

*AB*Q. In the figure below, points

*A*,*B*, and*C*are on the circle and ∠*ACB*is a right angle. Which of the following statements must be true?

Arc

*AB*is a semicircle*AC*>

*AB*

*AC*<

*AB*

*AC*+

*CB*=

*AB*

None of the above

Q. Which of the following measures cannot be the measure of an inscribed angle?

15°

90°

120°

180°

An inscribed angle might have any of these measures

Q. An inscribed angle has a measure of 45°. What is the measure of the arc it intercepts?

22.5°

45°

90°

180°

360°

Q. An inscribed angle has a measure of 58°. What is the measure of the arc it intercepts?

29°

58°

116°

180°

360°