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Central Angles and Chords

Total questions: 10

Worksheet time: 4mins

Name
Class
Date
1.

In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding ___________ are congruent.

a)

central angle

b)

inscribed angle

c)

intercepted arc

d)

congruent arc

2.

In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding _________ are congruent

a)

chords

b)

arc

c)

diameter

d)

radius

3.

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

a)

parallel

b)

congruent

c)

perpendicular

d)

bisect

4.

If a quadrilateral is inscribed in a circle, then its opposite angles are ___________.

a)

complementary

b)

supplementary

c)

congruent

d)

bisect

5.

What theorem that given an angle with its vertex on a circle, formed by a secant ray and a tangent ray, the measure of the angle is half the measure of the intercepted arc.

a)

The Tangent-Secant Theorem

b)

Chord - Arc Congruence Theorem

c)

Distance - Chord theorem

d)

The Intersecting Secants - Exterior Theorem

6.

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

a)

measures

b)

sum

c)

twice

d)

half

7.

If a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

a)

difference

b)

sum

c)

twice

d)

half

8.

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

a)

20020^0  

b)

40040^0  

c)

75075^0  

d)

55055^0  

9.

In circle O, the measure of arc AB = 120 and measure of arc BC = 150. Find the measure of angle 2.

a)

30030^0

b)

20020^0

c)

15015^0

d)

60060^0

10.

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

a)

1400

b)

800

c)

2800

d)

400