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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.A.2

Tags

CCSS.HSG.C.A.2

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

• central angle

• inscribed angle

• exterior angle

• vertex angle

Tags

CCSS.HSG.C.A.2

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.

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.A.2

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

Tags

CCSS.HSG.C.B.5