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Tangents to circles

Total questions: 20

Worksheet time: 28mins

Name
Class
Date
1.

Which shows a tangent line?

a)
b)
c)
d)
2.
QS is a tangent to circle P.  Find QS.
a)
144
b)
14
c)
12
d)
13
3.
What is the value of x?
a)
22
b)
25
c)
15
d)
20
4.

A tangent intersects the circle at:

a)

One point

b)

Two distinct point

c)

Never intersects

d)

None of the above

5.

Diagram shows a tangent to a circle.

a)

True

b)

False

6.

Diagram shows a tangent to a circle.

a)

True

b)

False

7.

Diagram shows a tangent to a circle.

a)

True

b)

False

8.
A tangent to a circle is ________________________ to the radius drawn to the point of tangency.
a)
congruent
b)
perpendicular
c)
complimentary
d)
supplementary
9.

The diagram shows a circle with centre O. PQ is a tangent to the circle. Given ∠PSR = 38°, calculate the value of x.

a)

52°

b)

50°

c)

38°

d)

90°

10.

The diagram shows a circle where AB is a tangent to the circle. Given ∠BAC = 42°, calculate the value of x.

a)

42°

b)

69°

c)

27°

d)

30°

11.

PT and QT are tangents to the circle with centre O.


Is PT = QT?

a)

TRUE

b)

FALSE

12.

PT and QT are tangents to the circle with centre O.


Is x + y = 360°?

a)

TRUE

b)

FALSE

13.

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

14.

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

a)

a=ea=e

b)

b=eb=e

c)

d=ed=e

d)

c=dc=d

e)

a=ba=b

15.

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

a)

70

b)

110

c)

140

d)

90

16.

How many common tangent(s) ?

a)

0

b)

1

c)

2

d)

3

17.

How many common tangent(s) ?

a)

0

b)

1

c)

2

d)

3

18.

How many common tangent(s) ?

a)

1

b)

2

c)

3

d)

4

19.

How many common tangent(s) ?

a)

1

b)

2

c)

3

d)

4

20.

How many common tangent(s) ?

a)

1

b)

2

c)

3

d)

4