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Circle Geometry-Angle Properties Review

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

What is the value of x?

(a)  

2.

What is the value of x?

(a)  

3.

What is the value of x?

(a)  

4.

A tangent point is...

a)

The centre of the circle.

b)

Always connected to the longest side of a line.

c)

The point where the tangent line meets the circumference of the circle.

d)

The point we measure when finding the hypothenuse.

5.

Find the missing angles. Write BCD = ____ AND BED = ____

(a)  

6.

What is the value of x?

(a)  

7.

A chord is...

a)

a line that ONLY goes through the centre of the circle.

b)

a line that connects two points in the circumference

c)

the line that divides the circle in two.

d)

the line we have to draw to form a triangle.

8.

The distance along a circle, measured ​ (a)   ; where the straight segment only has one point in the ​ (b)   and passes through the centre.​

Choose from the below words
across the center
circumference
radius
tangent
bisector
9.

An inscribed angle is where both the (a)   and (b)   are at the circle’s (c)   .

Choose from the below words
vertex
endpoints
circumference
centre
edge
radius
diametre
10.

What is the value of x?

(a)  

11.

The measure of the (a)   that subtends the same arc of any (b)   is ​ (c)   the measure of any inscribed angle that subtends the same arc.

Choose from the below words
central angle
inscribed angle
twice
half
obstuse angle
acute angle
right angle
triple
12.

The property of angles in a semicircle tells us that when the ​ (a)   is made in a semicircle, the​ (b)   has an angle of ​ (c)   degrees.

Choose from the below words
90
inscribed angle
vertex
edge
central angle
180
360
45
13.

Complementary angles...

a)

add up to 180

b)

add up to 360

c)

are equal to each other

d)

can't be measured accurately

14.

Supplementary angles are

a)

equal to 180 degrees

b)

are always divided into two equal parts

c)

are equal to each other

d)

make up half of a triangle.

15.

What is the value of "h" degrees?

(a)  

16.

Match the following

60

76

76

28

17.



(a)  

18.

What is the value of x with a reason?

a)

112°112\degree

b)

56°56\degree

c)

The angle at the center is equal to twice the angle at the circumference.

d)

The angle at the center is equal to the angle at the circumference.

19.

If a line is drawn from the center of a circle to the chord and it bisects the chord, what will the relationship between this line and the chord be?

a)

They will be perpendicular

b)

They will be parallel

c)

They will be equal

d)

The chord will be bisected

20.

Line ST is a tangent to the circle at point P. What is the measure of angle (x + y)?

a)

79

b)

80

c)

86

d)

90