Circles and Tangent Properties

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

A tangent line intersecting with a radius always creates a ____________ angle

• right

• acute

• obtuse

• straight

In the diagram, three tangents circumscribe a circle. Find the perimeter of the triangle.

• 48.8

• 47.4

• 39.8

• 36.4

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

• 6

• 7

• 8

• 9

In a circle (or congruent circles), chords that are the same distance from the center:

• are similar

• have the same name

• are congruent to each other

• are walking dead

Name a chord.

• Segment XC

• Segment KM

• Segment HJ

• LINE BD

Now draw a diagram of a circle with two chords, EF and GH, that intersect at point K.  If EF = 15, EK = 6, and HK = 3, what is GK?

• 3

• 6

• 9

• 18

Solve for x. 

• 5

• 20

• 40

• 85

Solve for x.

• 88.25

• 9.39

• 18.8

• 7.03

In circle P, find the measure of angle QPR.

• A

• B

• C

• D