Free Printable ANGLES AND TANGENTS OF CIRCLES

1.

In the diagram, PTR and QTS are straight lines. Find the value of x.

a)

28

b)

32

c)

36

d)

48

2.

Choose the correct cyclic quadrilateral for JKLM. You can choose more than one answer.

a)

b)

c)

d)

3.

Identify the straight lines that are tangents to the circle in the diagram. You can choose more than one answer.

a)

AB

b)

RS

c)

KJ

d)

LM

e)

TU

4.

State the angles of equal size in the diagram. You can choose more than one answer.

a)

$w=y$

b)

$w=x$

c)

$x=y$

5.

Determine the value of x in the diagram.

*eg: 70

(a)

6.

In the diagram, ABC is a straight line. Choose the correct statement below. You can choose more than one answer.

a)

$t\degree+r\degree=180\degree$

b)

$q\degree+r\degree+s\degree+t\degree=360\degree$

7.

In the diagram, PQ and QR are tangents to a circle at P and R respectively. Which of the following statements is correct?

a)

$PQ\ne RQ$

b)

$OQ=\sqrt{RO+QR}$

c)

$\angle PQO=\angle ROQ$

d)

$\angle POQ=\angle QOR$

8.

Find the value of z

(a)

9.

Determine the value of x

(a)

10.

Find the value of y

(a)

11.

Name the properties of a circle.

W = _____________ and X = _______________

a)

W = Minor arc and X = Major arc

b)

W = Major arc and X = Minor arc

c)

W = Major sector and X = Minor sector

d)

W = Minor sector and X = Major sector

12.

RS is a common tangents to the two circle with centres P and Q respectively.Find the value of x.

RS ialah tangen sepunya bagi dua buah bulatan masing-masing dengan pusat P dan Q.Cari nilai x.

(a)

13.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

14.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

15.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

16.

How many common tangents?

a)

0

b)

1

c)

2

d)

3

e)

4

17.

Diagram shows a tangent to a circle.

a)

True

b)

False

18.

What is the point of contact?

a)

The point where the tangent touches a circle.

b)

The point where the tangent interssects the center of the circle.

c)

The point where the tangent intersects with another tangent.

d)

The point where the tangent intersects with a secant.

ANGLES AND TANGENTS OF CIRCLES

Total questions: 18

Worksheet time: 19mins

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