Secants, Tangents, Chords

Determine the measure of ∠NOP

• 15°

• 20°

• 40°

• 50°

What is the definition of a chord?

• A line segment whose endpoints are on a circle.

• A line that passes through the center of the circle.

• A line segment that intersects at a point on the circle.

• A line that intersects a circle in two points.

What is the definition of a tangent?

• A line that intersects the circle on two points.

• A line that passes through the center of the circle.

• A line segment that passes through the center of the circle.

• A line that intersects the circle on only one point.

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.

What is the point of tangency?

• The point where the tangent intersects a circle.

• The point where the tangent interssects the center of the circle.

• The point where the tangent intersects with another tangent.

• The point where the tangent intersects with a secant.

Find the measure of ∠ABE.

• 129⁰

• 51⁰

• 100⁰

• 65⁰

Find the measure of the missing arc.

• 70°

• 100.5°

• 201°

• 140°

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

x = ?

• 90

• 180

• 45

• 80

Find the value of x.

• 10

• 181

• 34

• 40