Properties of Tangents to a Circle

• 54

• 90

• 306

• 126

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CCSS.HSG.C.A.2

is tangent to both circles. What is the measure of angle NQP?

• 180

• 90

• 45

• 360

AD is tangent and AC is a diameter. Find the measure of arc AB.

• 36

• 90

• 72

• 54

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CCSS.HSG.C.A.2

In the diagram, PQ and QR are tangents to a circle at P and R respectively. Which of the following statements is correct?

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CCSS.HSG.C.A.2

The diagram shows a circle with centre O. Find the value of y.

• 111

• 69

• 55.5

• 21

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CCSS.HSG.C.A.2

In the diagram, RTS is a tangent to a circle at point T and the arc length of minor sector OQP is 1/5 of the circumference of the circle with centre O. Find the value of x.

• 75

• 72

• 36

• 18

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CCSS.HSG.C.A.2

In the diagram, KLMN is a tangent to a circle MTR. RSM is a straight line. Find the value x.

• 50

• 70

• 110

• 120

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CCSS.HSG.C.A.2

In the diagram, LMN is a tangent of the circle at point M. Choose the correct statements below. You can choose more than one answer.

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CCSS.HSG.C.A.2

Identify the straight lines that are tangents to the circle in the diagram. You can choose more than one answer.

• AB

• RS

• KJ

• LM

• TU

Determine the value of x in the diagram.

*eg: 70

(a)  

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CCSS.HSG.C.A.2