Properties of Circles Tangent

Determine if a tangent line is shown in the picture.

• Yes

• No

• Not sure

In the diagram, AC is tangent to circle B, find the length of CB.

• 6

• 7

• 8

• 9

A,B, C, and D lie on a circle, centre O.

SCT is a tangent and is parallel to OB.

What are the values of x, y, z and the reflex angle AOC.

• x=40, y=20, z=120, reflex angle AOC=130

• x=40, y=25, z=115, reflex angle AOC=230

• x=40, y=25, z=115, reflex angle AOC=130

• x=40, y=25, z=130, reflex angle AOC=230

The diagram shows a circle, centre O.
P, Q, R and S are points on the circumference.
Select all the correct statements.

• Angle QPS = Angle QRS = 90, because right angle in a semicircle

• Angle SQP=27, because tangent is perpendicular to the radius

• Angle PSQ=63, because angle in alternate segment

• Angle SPQ=27, because angles in the same segment

Find the length of LK

• 24

• 20.25

• 17.5

• 12.32

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

• 26

• 57

• 66

• 114

What is the point called where a tangent touches a circle?

• Point of tangency

• Point of intersection

• Point of contact

• Point of origin

If a line is tangent to a circle, what is the angle between the tangent and the radius at the point of tangency?

Which of the following is true about two tangents drawn from an external point to a circle?

• They are always parallel

• They are always equal in length

• They are always perpendicular

• They are always unequal in length