Circles Secants and Tangents Angles

Find the value of x

• 4

• 18

• 3

• 9

Find the value of x

• 10

• 15

• 12

• 19

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

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

• 2

• 11

• 7.6

• 9

Find the value of x.

• 12.5

• 8

• 35

• 16

Solve for angle "x" in degrees. (Hint: Intersecting Exterior Secants- Finding Arcs and Angles)

• 60

• 55

• 115

• 87

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

• 42.4

• 52

• 52.3

• 42

Find the measure of the missing angle in degrees. (Hint: Intersecting Chords)

• 79

• 57

• 22

• 83

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

Match the following vocabulary term with its appropriate part of the circle.

• Line PR

• Secant Line

• Point V

• Point of Tangency

• Semi-Circle

• Minor Arc

• Major Arc