Chords, Secants, and Tangents of Circles

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 a tangent and a secant, two secants, or two tangents intersect in a point in the exterior of a circle, then the measure of the angle formed is equal to one-half the ____________ of the measures of the intersected arcs.

• difference

• sum

• twice

• half

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

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

• chords

• arc

• diameter

• radius

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

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

Find the value of x.

• 3

• 5

• 15

• 12

• 13

• Chord
• Secant
• Radius
• Tangent

Given two secants, solve for x.

• 10°

• 20°

• 30°

• 40°