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.

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.

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

Find the measure of angle BDC.

• 35

• 40

• 75

• 110

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.

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

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

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

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

• Secant

• Tangent

• Chord

• Segment