Intersecting Secants in a Circle

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

∠ ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 72° and minor arc CD = 132° , what is the measure of ∠ ABD?

• 30°

• 36°

• 42°

• 48°

What is the definition of a secant?

• A line segment whose endpoints are on the circle.

• A line that intersects a circle in one point.

• A line that intersects a circle in two points.

• A line segment which intersects the circle at the point of secancy.

• 240
• 230
• 205
• 255

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.

• Minor Arc

• Line PR

• Semi-Circle

• Point of Tangency

• Secant Line

• Point V

• Major Arc

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

• 102

• 51

• 204

• 40

What is the formula to use when solving for a segment length of intersecting chords in a circle?

• ab=cd

• a(a+b)=c(c+d)

• a+b=c+d

What is the formula to use when solving for arcs/angles in circles with intersecting chords?

Select the theorem used to find the missing segment.

• Intersecting Interior Chords

• Intersecting Exterior Secants

• Intersecting Exterior Secant and Tangent