Circle Basics and Tangents

Which of the following is a true statement?

• A tangent intersects a circle at two distinct points.

• A tangent line might be perpendicular to the radius containing the circle center and the point of tangency.

• A point of tangency is the intersection between two tangent lines.

• A tangent intersects the circle at exactly one point.

Find the length of segment DC to the nearest tenth of a centimeter.

• 9.7 cm

• 12.1 cm

• 9.8 cm

• 12.0 cm

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CCSS.HSG.C.A.2

If a line is tangent to a circle, then it is ________ to the radius drawn to the point of tangency.

• parallel

• adjacent

• supplementary

• perpendicular

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

Tags

CCSS.HSG.C.A.2

• 54

• 90

• 306

• 126

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CCSS.HSG.C.A.2

Knowing that line AF is a tangent, C is the center of the circle, and angle F is 29.0 degrees, what is the measure of angle ECD?

(a)  

Tags

CCSS.HSG.C.A.2

Line ST is a tangent to the circle at point P. What is the measure of angle (x + y)?

• 79

• 80

• 86

• 90

Tags

CCSS.HSG.C.A.2

What is the value of x?

• 22

• 25

• 15

• 20

Tags

CCSS.HSG.C.A.2

Find the length of segment AC, assuming all segments that appear to be tangent are tangent.

(a)  

Tags

CCSS.HSG.C.A.2

AD is tangent and AC is a diameter. Find the measure of arc AB.

• 36

• 90

• 72

• 54

Tags

CCSS.HSG.C.A.2