Tangent and Secant Angle Measures

Which of the following statement is true?

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the positive difference of the measures of the intercepted arcs.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is the sum of the measures of the intercepted arcs.

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CCSS.HSG.C.A.2

Which of the following statement is false?

• If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

• If a secant and tangent intersect at the point of tangency, then the measure of each angle formed is one-half the measure of its intercepted arc.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If two secants intersect in the exterior of a circle then the measure of the angle formed is one-half the positive sum of the measures of the intercepted arcs.

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CCSS.HSG.C.A.2

Which of the following word will make the statement true: If two secants intersect in the interior of a circle, then the measure of an angle formed is one-half the _______of the measures of the arcs intercepted by the angle and its vertical angle.

• difference

• product

• ratio

• sum

Tags

CCSS.HSG.C.A.2

Find the measure of angle BDC.

• 35

• 40

• 75

• 110

Tags

CCSS.HSG.C.A.2

Where in the intersection of the secants shown?

• Inside the circle

• Outside the circle

• On the circle

• The secants do not intersect.

Which of the following statement is false?

• If two chords intersect in a circle then the ratio of the lengths of the chords segments are equal.

• If a secant and a tangent intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If two tangents intersect in the exterior of a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.

• If a tangent and a secant intersect in the exterior of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment.

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CCSS.HSG.C.A.2

Which of the following word will make the statement true: If a tangent and a secant intersect in the ________ of a circle then the square of the measure of the tangent is equal to the product of the measures of the secant and its external secant segment.

• interior

• exterior

• part

• center

Tags

CCSS.HSG.C.A.2

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

Tags

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

Tags

CCSS.HSG.C.A.2

A segment that crosses the outside of the circle at two or more points and continues past the circle.

• Secant

• Tangent

• Chord

• Segment