Circle theorem

Question 1 of 10

1

Which circle theorem does this image show?

Select one of the following:

The angle at the circumference is half that at the center
The angle at the circumference is double that at the center
Angles in isosceles triangles are equal

Explanation

Question 2 of 10

1

Select from the dropdown lists to complete the text.

Angle x = ( 100, 25, 200 ) because angles at the center of a circle ( are double that at the circumference, are half that at the circumference, are the same at the circumference ).
Also y = ( 80, 40, 160 ) ( for the same reason, because angles in a cyclic quadrilateral, because angles in a triangle add to 180 ).

Explanation

Question 3 of 10

1

P = 40 ?

Select one of the following:

True
False

Explanation

Question 4 of 10

1

d = 80 and a = (d/4) * 6
Find and lable all angles in the image below:

Drag an answer into the correct orange point.

80

120

60

100

Explanation

Question 5 of 10

1

What was the reason for your previous answers to this image?

Select one of the following:

Angles in a cyclic quadrilateral add to 180
angles in a quadrilateral add to 360
Angles in the same segment are equal

Explanation

Question 6 of 10

1

Select from the dropdown lists to complete the text.

O is the centre of a circle
Angle STU = ( 90, 45, 60 ),
Angle z = ( 59, 89, 104 ),
because ( the angle in a semicircle is 90, angles in a triangle add to 180, Half a cyclic quadrilateral is 90 )

Explanation

Question 7 of 10

1

I have a circle with a tangent touching the diameter, Quinlan says the angle between the two is 270 degrees, is he right?

Select one of the following:

True
False

Explanation

Question 8 of 10

1

What was the actual angle?

Select one of the following:

90
180
45

Explanation

Question 9 of 10

1

Find angle EFG and angle EGO:

Drag an answer into the correct orange point.

90

110

70

80

Explanation

Question 10 of 10

1

Finally, which of the below are real circle theorems?

Select one or more of the following:

The angle at the centre is twice the angle at the circumference
Angles in same segment are equal
The angle in a semicircle is 90 degrees
Opposite angles in a cyclic quarilateral add to 180

	Created by Brodie McMeowface about 7 years ago

A quick quiz on circle theorem

Circle theorem

Question 1 of 10

Which circle theorem does this image show?

Select one of the following:

Explanation

Question 2 of 10

Select from the dropdown lists to complete the text.

Explanation

Question 3 of 10

P = 40 ?

Select one of the following:

Explanation

Question 4 of 10

d = 80 and a = (d/4) * 6 Find and lable all angles in the image below:

Drag an answer into the correct orange point.

Explanation

Question 5 of 10

What was the reason for your previous answers to this image?

Select one of the following:

Explanation

Question 6 of 10

Select from the dropdown lists to complete the text.

Explanation

Question 7 of 10

I have a circle with a tangent touching the diameter, Quinlan says the angle between the two is 270 degrees, is he right?

Select one of the following:

Explanation

Question 8 of 10

What was the actual angle?

Select one of the following:

Explanation

Question 9 of 10

Find angle EFG and angle EGO:

Drag an answer into the correct orange point.

Explanation

Question 10 of 10

Finally, which of the below are real circle theorems?

Select one or more of the following:

Explanation

d = 80 and a = (d/4) * 6
Find and lable all angles in the image below: