Circles Tangents Secants Chords and Angles

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

Given the following inscribed quadrilateral, what is the value of y?

• 10

• 20

• 30

• 40

x = ?

• 90

• 180

• 45

• 80

Find x.  Assume that segments that appear to be   tangent are tangent.

• 2

• 11

• 7.6

• 9

What is the measure of angle 2?

• 80

• 45

• 125

• 40

Find the measure of the missing arc.

• 70°

• 100.5°

• 201°

• 140°

Find the value of x.

• 12.5

• 8

• 35

• 16

Solve for x.

• 29

• 33

• 41.5

• 50

What is the difference between a tangent line and a secant line?

• A secant intersects the circle twice; a tangent touches the circle once

• A tangent intersects the circle twice; a secant touches the circle once

• A secant goes through the center of the circle; a tangent does not

• A secant is outside the circle; a tangent is inside the circle

What is the measure of the missing angle in degrees? (Hint: Inscribed Angle)

• 102

• 51

• 204

• 40