Secants and Tangents to a Circle

In the diagram, two tangents to the circle share a common external point. Solve for the value of "x"

• 8

• 9

• 6

• 5

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CCSS.HSG.C.A.2

Find the radius r

• 2

• 3

• 4

• 5

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CCSS.HSG.C.A.2

What is the value of JT that verifies segment JT is tangent to circle O if OT = 6in and JO = 10in?

• 9.2 in

• 8 in

• 17.1 in

• 11.7 in

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CCSS.HSG.C.A.2

Find the value of x that ensures the segment that appears tangent, is in fact tangent, to circle C.

• x = 14.4

• x = 8.9

• x = 16

• x = 8

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CCSS.HSG.C.A.2

Find the measure of angle EFH.

• 61

• 65

• 114

• 130

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CCSS.HSG.C.A.2

What is the measure of angle 1?

• 120

• 40

• 30

• 60

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CCSS.HSG.C.A.2

Given two secants, solve for x.

• 10°

• 20°

• 30°

• 40°

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CCSS.HSG.C.A.2

What is line segment AB?

• External Segment

• Diameter

• Radius

• Chord

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CCSS.HSG.C.A.2

In the figure on the left, if the radius of circle H is 6 units and  measure of angle CHB = 104, what is the measurement of angle CAB?

• Angle CAB = 72

• Angle CAB = 74

• Angle CAB = 76

• Angle CAB = 78

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CCSS.HSG.C.A.2

In the figure given on the left, is line DK tangent to circle H?

• Yes, because a diameter is always tangent to a line outside of a circle

• Yes, because diameter DG is perpendicular to line DK

• No, because  and is not a right angle

• Unanswerable, because there is no sufficient evidence to solve the problem