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Angle Properties of Circles

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

Used 2+ times

Angle Properties of Circles
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20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The diagram shows a circle, centre O.

What is the value of x

106

53

37

90

Tags

CCSS.HSG.C.A.2

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The diagram shows a circle, centre O.

What is the value of z.

116

244

58

122

Tags

CCSS.HSG.C.A.2

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The diagram shows a circle, centre O.
Points A, B, C and D lie on the circumference.
AB=BC
What is the value of angle ADC

76

52

104

38

Tags

CCSS.HSG.C.A.2

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

The diagram shows a circle, centre O.
P, Q, R and S are points on the circumference.
Select all the correct statements.

Angle QPS = Angle QRS = 90, because right angle in a semicircle

Angle SQP=27, because tangent is perpendicular to the radius

Angle PSQ=63, because angle in alternate segment

Angle SPQ=27, because angles in the same segment

Tags

CCSS.HSG.C.A.2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

In the figure, O is the centre of the circle. If ∠ADC = 140°, then what is the value of x?

45o

55o

60o

50o

Tags

CCSS.HSG.C.A.2

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Determine y.

30

60

90

180

Tags

CCSS.HSG.C.A.2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

A,B, C, and D lie on a circle, centre O.

SCT is a tangent and is parallel to OB.

What are the values of x, y, z and the reflex angle AOC.

x=40, y=20, z=120, reflex angle AOC=130

x=40, y=25, z=115, reflex angle AOC=230

x=40, y=25, z=115, reflex angle AOC=130

x=40, y=25, z=130, reflex angle AOC=230

Tags

CCSS.HSG.C.A.2

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