Circle Theorem Tangent and Chord

Determine the value of x and y.

In a circle, if a diameter is is perpendicular to a chord, then:

• it bisects the chord

• it bisects the corresponding arc

• it bisects BOTH the chord and its arc

• none of these answers are correct

Find the measure of Arc MN

• 96

• 114

• 228

• 48

In a circle or in congruent circles, two minor arcs are congruent if and only if their corresponding ___________ are congruent.

• central angle

• inscribed angle

• intercepted arc

• congruent arc

In a circle, a diameter bisects a chord and an arc with the same endpoints if and only if it is __________ to the chord.

• parallel

• congruent

• perpendicular

• bisect

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?

In circle O, the measure of arc AB = 120 and measure of arc BC = 150. Find the measure of angle 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