Circle Theorems

Circle Theorems Quiz

Spec E4.7–8 · Cambridge IGCSE Maths: Quiz

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5 questions, one answer each

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  1. 1. AB is a diameter of a circle and C is a point on the circumference. What is angle ACB?

    • A. 45°
    • B. 60°
    • C. 90°
    • D. 180°

  2. 2. A tangent touches a circle at point P. What angle does it make with the radius drawn to P?

    • A. 45°
    • B. 60°
    • C. 90°
    • D. 180°

  3. 3. The angle at the centre of a circle is 96°. What is the angle at the circumference standing on the same arc?

    • A. 24°
    • B. 48°
    • C. 96°
    • D. 192°

  4. 4. A cyclic quadrilateral has opposite angles of 112° and xx. What is xx?

    • A. 68°
    • B. 78°
    • C. 88°
    • D. 112°

  5. 5. Two tangents are drawn to a circle from the same external point, forming an isosceles triangle with the centre. Which theorem justifies the triangle being isosceles?

    • A. Angle in a semicircle
    • B. Tangents from an external point are equal in length
    • C. Alternate segment theorem
    • D. Angles in the same segment are equal

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