Tangent Secant Angles Theorem

What theorem that given an angle with its vertex on a circle, formed by a secant ray and a tangent ray, the measure of the angle is half the measure of the intercepted arc.

• The Tangent-Secant Theorem

• Chord - Arc Congruence Theorem

• Distance - Chord theorem

• The Intersecting Secants - Exterior Theorem

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CCSS.HSG.C.A.2

If a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

• difference

• sum

• twice

• half

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CCSS.HSG.C.A.2

The measure of arc HJ = 110 degree and arc LJ = 150 degree, what is the measure of angle K?

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CCSS.HSG.C.A.2

If a tangent and a secant intersect a circle at the point of _____, then the measure of the angle formed is half the measure of the intercepted arc. (Theorem 7.6A)

• tangency

• balance

• equality

• crossing

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CCSS.HSG.C.A.2

PA and PB are tangents of length 15cm to the circle with centre O. If PRO is a straight line with PR = 9cm, calculate the radius of the circle.

(a)  

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CCSS.HSG.C.A.2

Solve for x. 

• 7.94

• 8

• 10.58

• 112

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CCSS.HSG.C.A.2

Solve for x.

• 7.94

• 8

• 10.58

• 112

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CCSS.HSG.C.A.2

Using the secant property of a circle, find the value of x.

• 3.75

• 6

• 2.4

• 2

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CCSS.HSG.C.A.2

What is in the picture?

• Two tangents

• Two Secants

• Two Chords

• One Secant and One Tangent

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CCSS.HSG.C.A.2

If two secants intersect in the interior of a circle, then the measure of each angle formed is half the _____ of the measures of the intercepted arcs. (Theorem 7.6B)

• result

• sum

• difference

• product

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CCSS.HSG.C.A.2