Circle Properties of Tangent and Chords

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

• 6

• 7

• 8

• 9

Tags

CCSS.HSG.C.A.2

Two tangents CD and CB intersect circle A. Find the length of the tangent segment BC.

• 2

• 3

• 9

• 14

Tags

CCSS.HSG.C.A.2

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

If two tangents are drawn to a circle from an external point, what is the relationship between these two tangents?

• They are congruent.

• They are perpendicular.

• They intersect at the center.

• They are parallel.

Tags

CCSS.HSG.C.A.2

Segment AB and AC are​ (a)   to the circle and​ (b)   to each other.

• tangents

• congruent

• secants

• chords

• unequal

• similar

Find the value of x.

• 10

• 181

• 34

• 40

Tags

CCSS.HSG.C.A.2

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

• right

• acute

• obtuse

• straight

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

Tags

CCSS.HSG.C.A.2

Solve for x. 

• 5

• 20

• 40

• 85

Tags

CCSS.HSG.C.B.5