Circle theorem

Description

A quick quiz on circle theorem
Brodie McMeowface
Quiz by Brodie McMeowface, updated more than 1 year ago
Brodie McMeowface
Created by Brodie McMeowface about 7 years ago
987
2

Resource summary

Question 1

Question
Which circle theorem does this image show?
Answer
  • 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

Question 2

Question
Angle x = [blank_start]100[blank_end] because angles at the center of a circle [blank_start]are double that at the circumference[blank_end]. Also y = [blank_start]80[blank_end] [blank_start]for the same reason[blank_end].
Answer
  • 100
  • 25
  • 200
  • are double that at the circumference
  • are half that at the circumference
  • are the same at the circumference
  • 80
  • 40
  • 160
  • for the same reason
  • because angles in a cyclic quadrilateral
  • because angles in a triangle add to 180

Question 3

Question
P = 40 ?
Answer
  • True
  • False

Question 4

Question
d = 80 and a = (d/4) * 6 Find and lable all angles in the image below:
Answer
  • 80
  • 120
  • 60
  • 100

Question 5

Question
What was the reason for your previous answers to this image?
Answer
  • Angles in a cyclic quadrilateral add to 180
  • angles in a quadrilateral add to 360
  • Angles in the same segment are equal

Question 6

Question
O is the centre of a circle Angle STU = [blank_start]90[blank_end], Angle z = [blank_start]59[blank_end], because [blank_start]the angle in a semicircle is 90[blank_end]
Answer
  • 90
  • 45
  • 60
  • 59
  • 89
  • 104
  • the angle in a semicircle is 90
  • angles in a triangle add to 180
  • Half a cyclic quadrilateral is 90

Question 7

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

Question 8

Question
What was the actual angle?
Answer
  • 90
  • 180
  • 45

Question 9

Question
Find angle EFG and angle EGO:
Answer
  • 90
  • 110
  • 70
  • 80

Question 10

Question
Finally, which of the below are real circle theorems?
Answer
  • 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
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