Secants and Tangent Theorems of Circles

Secants and Tangents

Open Ended

Find angle A

Multiple Choice

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.

Multiple Choice

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.

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

• 160

• 20

• 70

• 90

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

• 90

• 309

• 129

• 39

Multiple Choice

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

• 90

• 140

• 220

• 360

Fill in the Blanks

Multiple Choice

What kind of tangent is shown in the figure?

• internal common tangent

• external common tangent

• tangent externally

• tangent internally

Multiple Choice

What kind of tangent is shown in the figure?

• internal common tangent

• external common tangent

• tangent externally

• tangent internally

Multiple Choice

What do you called the point of intersection between the circle and a tangent line?

• Point of Reference

• Point of Sale

• Point of View

• Point of Tangency

Multiple Choice

A tangent line XY touches the circle A at point B and formed the radius AB. Is it true that the radius AB perpendicular to the tangent line XY?

• Yes, the radius is perpendicular to the tangent line.

• Yes, the tangent line is the radius of the circle.

• No, the radius is not perpendicular to the tangent line.

• No, the radius of the circle is secant and tangent to the circle.

Open Ended

Segment AB is a common external tangent to circles P and Q with measurement of x. The radius AP of circle P measures 18 units long and the radius QB of circle Q measures 8 units longs. The line segment between the centers of the circles measure 26 units long. Find x.

Open Ended

Multiple Choice

Find the perimeter of the polygon.

• 77.8
• 73.4
• 78.8
• 67.4

Multiple Choice

A tangent to a circle is ________________________ to the radius drawn to the point of tangency.

• congruent
• perpendicular
• complimentary
• supplementary

Multiple Choice

A segment whose endpoints lie on a circle is a _______.

• tangent
• chord
• diameter
• secant

Multiple Choice

Is line AB tangent to the circle?

• YES

• NO

• Not Enough Info