Circle theorems and constructions

Circle theorems and constructions Quiz

IB MYP Maths Extended: Quiz

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5 questions, one answer each

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  1. 1. The angle at the circumference is 35∘35^\circ. What is the angle at the centre on the same arc?

    • A. 17.5∘17.5^\circ
    • B. 70∘70^\circ
    • C. 35∘35^\circ
    • D. 145∘145^\circ

  2. 2. ABAB is a diameter and CC is on the circle. What is angle ACBACB?

    • A. 45∘45^\circ
    • B. 60∘60^\circ
    • C. 180∘180^\circ
    • D. 90∘90^\circ

  3. 3. A tangent touches a circle at PP. What is the angle between the tangent and the radius OPOP?

    • A. 90∘90^\circ
    • B. 45∘45^\circ
    • C. 180∘180^\circ
    • D. 60∘60^\circ

  4. 4. One angle of a cyclic quadrilateral is 105∘105^\circ. What is the opposite angle?

    • A. 105∘105^\circ
    • B. 255∘255^\circ
    • C. 75∘75^\circ
    • D. 90∘90^\circ

  5. 5. Tangents TATA and TBTB touch a circle at AA and BB. TA=7TA=7 cm. What is TBTB?

    • A. 77 cm
    • B. 3.53.5 cm
    • C. 1414 cm
    • D. It cannot be found

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