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Angles, and Arcs, and Sectors! OH MY!

Total questions: 8

Worksheet time: 32mins

Name
Class
Date
1.

Here we have a circle centered at the point O. The measure of angle AOB if 56 degrees. What is the measure of angle ACB?

a)

28

b)

56⁰

c)

98⁰

d)

304⁰

2.

Here we have a circle with radius 1 centered at the point O. The arc length of arc AB is π/3. What is the measure of angle ACB?

a)

π/6 radians

b)

π/3 radians

c)

π/2 radians

d)

π/8 radians

3.

Chords AC and DB intersect at the point E. Select ALL statements which must be true.

a)

m∠ADB = m∠ACB

b)

m∠ADB = m∠CAD

c)

m∠DEA = m∠CEB

d)

m∠CAD = m∠CBD

e)

m∠BCA = m∠CBA

4.

What is the relationship between this circle and line?

a)

Tangent

b)

secant

c)

chord

d)

😶

5.

An incenter is the point where all of the angle bisectorsof a triangle meet. Which picture shows an incetner?

a)
b)
c)
6.

What does inscribed mean?

a)

a shape inside another

b)

😎

c)

a shape outside another

d)

SHAPES EVERYWHERE!

7.

Which figure shows an incircle (circle inscribed in a triangle whose radii are perpendicular to the opposite sides)

a)
b)
8.

The common intersection of all 3 perpendicular bisectors of the sides of a triangle is called the circumcenter of a triangle. Which picture shows the circumcenter?

a)
b)
c)
d)