Secants and Tangents in Circles

Assume that all the lines that appear tangent are tangent. JA=12 KL=15 , BK=9. Find the perimeter.

(a)  

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CCSS.HSG.C.A.2

Find the length of WU

(a)  

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CCSS.HSG.C.A.2

Find the length of CE

(a)  

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CCSS.HSG.C.A.2

Find the measure of angle EFH.

(a)  

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CCSS.HSG.C.A.2

Given m∠ ACB=85 , m∠ CAB=55 and arcAB has a measure of 100° find m∠ FAD

(a)  

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CCSS.HSG.C.A.2

What is the difference between a tangent line and a secant line?

• A secant intersects the circle twice; a tangent touches the circle once

• A tangent intersects the circle twice; a secant touches the circle once

• A secant goes through the center of the circle; a tangent does not

• A secant is outside the circle; a tangent is inside the circle

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

• 60

• 55

• 115

• 87

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CCSS.HSG.C.A.2

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

• 42.4

• 52

• 52.3

• 42

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CCSS.HSG.C.A.2

Match the following vocabulary term with its appropriate part of the circle.

• Semi-Circle

• Minor Arc

• Line PR

• Secant Line

• Point of Tangency

• Point V

• Major Arc

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

• 102

• 51

• 204

• 40

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CCSS.HSG.C.A.2