Angles from Chords Secants and Tangents

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

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

Find the value of x.

• 45

• 10

• 20

• 90

Tags

CCSS.HSG.C.A.2

Can you derive the relationship between the angles formed by two secants intersecting inside a circle?

• The angle formed by two secants intersecting inside a circle is equal to half the sum of the measures of the intercepted arcs.

• The angle formed by two secants is equal to the difference of the intercepted arcs.

• The angle formed by two secants is equal to the sum of the intercepted arcs.

• The angle formed by two secants is equal to the average of the measures of the intercepted arcs.

Tags

CCSS.HSG.C.A.2

An angle whose vertex is on the circle and whose sides are chords of the circle.

• adjacent arcs

• diameter

• Inscribed angle

• arc

What is the mathematical name given for the line AB?

• Radius

• Diamter

• Tangent

• Chord

Determine if the angle is a central angle, inscribed angle or neither.
$\angle\ ABC$

• central angle

• inscribed angle

• neither

Tags

CCSS.HSG.C.A.2

What is being represented in the image?

• Tangent

• Concentric Circles

• Exterior Angle

• Secant