Zusammenfassung der Ressource
Frage 1
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Which circle theorem does this image show?
Antworten
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The angle at the circumference is half that at the center
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The angle at the circumference is double that at the center
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Angles in isosceles triangles are equal
Frage 2
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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].
Antworten
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100
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25
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200
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are double that at the circumference
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are half that at the circumference
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are the same at the circumference
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80
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40
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160
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for the same reason
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because angles in a cyclic quadrilateral
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because angles in a triangle add to 180
Frage 3
Frage 4
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d = 80 and a = (d/4) * 6
Find and lable all angles in the image below:
Frage 5
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What was the reason for your previous answers to this image?
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Angles in a cyclic quadrilateral add to 180
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angles in a quadrilateral add to 360
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Angles in the same segment are equal
Frage 6
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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]
Antworten
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90
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45
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60
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59
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89
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104
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the angle in a semicircle is 90
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angles in a triangle add to 180
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Half a cyclic quadrilateral is 90
Frage 7
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I have a circle with a tangent touching the diameter, Quinlan says the angle between the two is 270 degrees, is he right?
Frage 8
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What was the actual angle?
Frage 9
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Find angle EFG and angle EGO:
Frage 10
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Finally, which of the below are real circle theorems?
Antworten
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The angle at the centre is twice the angle at the circumference
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Angles in same segment are equal
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The angle in a semicircle is 90 degrees
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Opposite angles in a cyclic quarilateral add to 180