Properties of Circles Tangent

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

If two circles are tangent to each other externally, what is the distance between their centers?

• Equal to the sum of their radii

• Equal to the difference of their radii

• Equal to the product of their radii

• Equal to the average of their radii

What is the power of a point theorem in relation to a circle?

• It relates the lengths of tangents drawn from a point outside the circle

• It relates the area of a circle to its radius

• It relates the circumference of a circle to its diameter

• It relates the diameter of a circle to its radius

Tags

CCSS.HSG.C.A.2

If a circle is inscribed in a triangle, what is the relationship between the circle and the sides of the triangle?

• The circle is tangent to all three sides

• The circle is tangent to two sides

• The circle is tangent to one side

• The circle is not tangent to any side

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

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.

• 16 in

• 8 in

• 11 in

• 6 in

Tags

CCSS.HSG.C.A.2

Determine if a tangent line is shown in the picture.

• Yes

• No

• Note Sure

Using lines tangent to the circle, find the value of x.

• 57

• 137

• 47

• 257

Tags

CCSS.HSG.C.A.2

• 54

• 90

• 306

• 126

Tags

CCSS.HSG.C.A.2