Secant and Tangent Lines in Circles

Assume that the lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x to the nearest tenth.

• 11.7

• 10.8

• 13.0

• 14.2

What is the value of x?

• A

• B

• C

• D

What is the value of x?

• 22

• 25

• 15

• 20

In the diagram, a tangent and a line drawn to the point of tangency form a right triangle. Solve for "?" (the length of the hypotenuse)

• 15

• 6

• -24

• 14

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.

• Major Arc

• Point V

• Minor Arc

• Point of Tangency

• Semi-Circle

• Line PR

• Secant Line

What is the formula used when finding an angle formed by an intersecting secant and tangent on the circle?

• 2(Inscribed Angle)

• 2(Intercepted Arc)

What is the value of x? (Hint: Segment Lengths in Circles)

• 1.03

• 2.12

• 1.25

• 0.87

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