Circles Tangent Secant Chords

In the diagram, TP and TQ are tangents to circle O. Determine the value of x. (Note the angles with single arcs are not necessarily congruent in this diagram.)

• 70

• 110

• 140

• 90

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

In a circle, if a diameter bisects a chord (that is not a diameter), then:

• it is a secant

• it is parallel to the chord

• it is perpendicular to the chord

• it is just shaking out the sillies

Which best describes segment AB?

• chord

• secant

• tangent

• diameter

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

• 150°

• 100°

• 210°

• 105°

What is the measure of ∠PTQ?

• 100°

• 140°

• 180°

• 120°

A ____ is a line, ray, or segment that intersects a circle at two points.

• Tangent

• Secant

• Radius

• Arc

An angle is a(n) ______ if the vertex is on a circle and the sides of the angle are shords of the circle.

• right angle

• acute angle

• inscribed angle

• intercepted angle

Segments with endpoints on a circle are called _____.

• arcs

• radii

• chords

• polygons

Find the value of x.

• 15

• 13

• 3

• 6