Chords and Angles and Tangent to a Circle

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

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

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 (or congruent circles), the measure of an arc is:

• equal to half of the measure of its corresponding central angle

• equal to the measure of its corresponding central angle

• equal to the measure of its circle's radii

• only calculated by taking the square root of dragon taxis

Find the measure of angle MNQ.

• 89

• 158

• 91

• 22

Which is the correct way to solve this?

• x=(360-110)/2

• x=110/2

• x=(250-110)/2

• x=(250+110)/2

Find the value of x.

Using lines tangent to the circle, find the value of x.

• 57

• 137

• 47

• 257

Segment AB and AC are​ (a)   to the circle and​ (b)   to each other.

• tangents

• congruent

• secants

• chords

• unequal

• similar

Solve for x.

• 140

• 89

• 51

• 38