Quiz about Form 3 Chapter 6 Angles and Tangents of circles

Question 1

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

Accepted Answer

28

Answer

32

Answer

36

Answer

48

Question 2

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

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 3

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

Accepted Answer

TU

Accepted Answer

RS

Answer

AB

Answer

KJ

Answer

LM

Question 4

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

Accepted Answer

<math><semantics><mrow><mi>w</mi><mo>=</mo><mi>y</mi></mrow><annotation encoding="application/x-tex">w=y</annotation></semantics></math>w=y

Answer

<math><semantics><mrow><mi>w</mi><mo>=</mo><mi>x</mi></mrow><annotation encoding="application/x-tex">w=x</annotation></semantics></math>w=x

Answer

<math><semantics><mrow><mi>x</mi><mo>=</mo><mi>y</mi></mrow><annotation encoding="application/x-tex">x=y</annotation></semantics></math>x=y

Question 5

Name the properties of a circle.

W = _____________ and X = _______________

Accepted Answer

W = Major arc and X = Minor arc

Answer

W = Minor arc and X = Major arc

Answer

W = Major sector and X = Minor sector

Answer

W = Minor sector and X = Major sector

Question 6

How many common tangents?

Accepted Answer

0

Answer

1

Answer

2

Answer

3

Answer

4

Question 7

How many common tangents?

Accepted Answer

4

Answer

0

Answer

1

Answer

2

Answer

3

Question 8

How many common tangents?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Answer

4

Question 9

Diagram shows a tangent to a circle.

Accepted Answer

False

Answer

True

Question 10

A tangent line intersects the circle ...

Accepted Answer

in exactly one point

Answer

in exactly two points

Answer

through the center

Answer

with the diameter

Question 11

Which shows a tangent line?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 12

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

Accepted Answer

perpendicular

Answer

parallel

Answer

adjacent

Answer

supplementary

Question 13

Using the tangent lines, find the value of x.

Accepted Answer

120

Answer

60

Answer

30

Answer

300

Question 14

Using lines tangent to the circle, find the value of x.

Accepted Answer

47

Answer

57

Answer

137

Answer

257

Question 15

Determine if a tangent line is shown in the picture.

Accepted Answer

No

Answer

Yes

Answer

Not sure

Question 16

Determine if a tangent line is shown in the picture.

Accepted Answer

Yes

Answer

No

Answer

Not Sture

Question 17

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

Accepted Answer

13.0

Answer

11.7

Answer

10.8

Answer

14.2

Question 18

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

Accepted Answer

3.6

Answer

4.1

Answer

5.8

Answer

4.7

Question 19

Angles at the circumference subtended by arcs of the same length are ..........

Accepted Answer

equal

Answer

not equal

Question 20

The size of an angle at the circumference subtended by an arc is ............ to the arc length

Accepted Answer

proportional

Answer

equal

Answer

not equal

Answer

not proportional

Question 21

The size of the angle at the centre of a circle subtended by the same arc is twice the size of angle at the circumference.

Which diagram represents the statement given?
(You can choose more than 1 answer)

Accepted Answer

Option A is correct

Accepted Answer

Option B is correct

Accepted Answer

Option C is correct

Accepted Answer

Option D is correct

Question 22

Are the size of angle x, y and z the same?

Accepted Answer

No, because the angles are not at the circumference of the circle

Answer

Yes, because the arc length is the same

Answer

Yes, because the height angles x,y and z is the same

Answer

No, because the arc length is proportional

Question 23

Which of the following has three common tangents

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Form 3 Chapter 6 Angles and Tangents of circles

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