Intersecting Secants and Tangents

Determine the value of x using the information in the diagram.

• 190º

• 130º

• 120º

• 70º

Which expression can be used to solve for the unknown angle measure?

• ? = (50 + 99) ÷ 2

• ? = 50 + 99

• ? = 198 - 50

• ? = 180 - (50 + 90)

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

• Line PR

• Semi-Circle

• Point V

• Secant Line

• Point of Tangency

• Minor Arc

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

What is the formula to use when solving for an exterior angle formed by 2 exterior intersecting secants, an exterior intersecting secant and tangent, or 2 exterior intersecting tangents of a circle?

• 2(Major Arc + Minor Arc)

• Major Arc - Minor Arc

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

• 60

• 55

• 115

• 87

If 2 segments from the same external point are tangent to a circle, then they are_.

• Supplementary

• Congruent

• Complimentary

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

• 42.4

• 52

• 52.3

• 42