Intersecting Chords Arc and Angle Measures

If two chords intersect within a circle, then the measure of the angle formed is equal to half the ______ of the measures of the intercepted arcs.

• measures

• sum

• twice

• half

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

Quadrilateral LOVE is inscribed in the circle as shown. If the measure of angle V = 140 degree, what is the measure of arc ELO?

• 140⁰

• 80⁰

• 280⁰

• 40⁰

According to the Angles of Intersecting Chords Theorem, if two chords of the same circle intersect, then what is the relationship of the total measure of a pair of vertical angles to the total measure of the arcs intercepted by these angles?

• The measure of a pair of vertical angles is equal to the total measure of the arcs intercepted by these angles.

• The measure of a pair of vertical angles is half the total measure of the arcs intercepted by these angles.

• The measure of a pair of vertical angles is twice the total measure of the arcs intercepted by these angles.

• The total measure of the arcs intercepted by these angles is half the measure of a pair of vertical angles.

What do you call an angle with a vertex on the circle?

• central angle

• inscribed angle

• exterior angle

• vertex angle

According to the Inscribed Angle Theorem, what is the relationship of the measure of an inscribed angle to its intercepted arc?

• The measure of an inscribed angle is equal to the measure of its intercepted arc.

• The measure of an inscribed angle is twice the measure of its intercepted arc.

• The measure of an inscribed angle is half the measure of its intercepted arc.

• The measure of an intercepted arc is half the measure of its inscribed angle.

If two chords of the same circle intersect, then the products of their segments are equal.

• Intersecting Chords Theorem

• Angles of Intersecting Chords Theorem

• Vertical Chords Theorem

• Angles of Vertical Chords Theorem

What do you call the region in the circle bounded by two radii of a central angle θ and the arc between their end points?

• sector

• sector area

• tangent

• secant

• minor arc

• major arc

• semi circle

• small arc