Segments Formed by Chords Secants and Tangents

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.

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.A.2

What is the name of this theorem: If two secants intersects in the exterior of a circle, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant and its external secant segment.

• Chord-Chord Power Theorem

• Secant-Secant Theorem

• Power Theorems

• Two Tangent Theorem

Tags

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

In circle P, the diameter is 26 cm, and the chord is 24 cm. What is the distance of between the chord and the center of the circle?

• 3 cm

• 4 cm

• 5 cm

• 6 cm

Tags

CCSS.HSG.C.A.2

Find the radius of the circle if its chord is 8cm and its distance from the center is 3cm.

• 5 cm

• 6 cm

• 7 cm

• 8 cm

Tags

CCSS.HSG.C.A.2

The intersection of a tangent line and a circle.

• intersection

• point of tangency

• tangently

• pointly

What is the mathematical name given for the line AB?

• Radius

• Diamter

• Tangent

• Chord

If a secant and a tangent intersect at a point outside the circle, how is the tangent length related to the secant?

• The square of the tangent length equals the product of the secant length and its external segment.

• The tangent length is equal to the secant length.

• The tangent length is unrelated to the secant length.

• The tangent length is half the length of the secant.

Tags

CCSS.HSG.C.A.2

A line that intersects a circle in exactly two points.

• diameter

• central angle

• arc

• secant line