Chord Theorems Practice

Front

What is the Chord Theorem?

Back

The Chord Theorem states that if two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.

Front

How do you find the measure of an angle formed by two intersecting chords?

Back

To find the measure of an angle formed by two intersecting chords, use the formula: Angle = (Arc1 + Arc2) / 2, where Arc1 and Arc2 are the measures of the arcs intercepted by the angle.

Front

What is the relationship between the angles formed by two intersecting chords?

Back

The angles formed by two intersecting chords are equal to half the sum of the measures of the arcs intercepted by the angle.

Front

If two chords intersect at point P, how do you express the lengths of the segments?

Back

If chord AB intersects chord CD at point P, then AP * PB = CP * PD.

Front

What is the measure of an arc in a circle?

Back

The measure of an arc is the degree measure of the angle formed by two radii that connect the center of the circle to the endpoints of the arc.

Front

How do you calculate the length of an arc?

Back

The length of an arc can be calculated using the formula: Length = (θ/360) * 2πr, where θ is the angle in degrees and r is the radius of the circle.

Front

What is the definition of a central angle?

Back

A central angle is an angle whose vertex is at the center of the circle and whose sides (radii) extend to the circumference.

Front

What is the relationship between a central angle and its intercepted arc?

Back

The measure of a central angle is equal to the measure of its intercepted arc.

Front

What is the Inscribed Angle Theorem?

Back

The Inscribed Angle Theorem states that an inscribed angle is half the measure of the intercepted arc.

Front

How do you find the measure of an inscribed angle?

Back

To find the measure of an inscribed angle, use the formula: Inscribed Angle = (Intercepted Arc) / 2.