Tangent Properties in Circles

A tangent is a line that _______. 

• passes through the center of the circle

• intersects the circle at two points

• intersects the circle at one point

• follows the circumference of a circle

Find the measure of segment NQ

• 5

• 10

• 25

• 7

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

What are the values of w, x and y?

• w=26, x=128, y=52

• w=32, x=64, y= 26

• w=26, x=116, y=54

• w=26, x=128, y=62

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

What is the value of x?

• x = 160

• x = 40

• x = 80

• x = 360

Solve for x.

• 140

• 89

• 51

• 38

Solve for x.

• 10

• 5

• 18

• 9