Circles Secant and Tangent Test

Segment AB is a common external tangent to circles P and Q with measurement of x. The radius AP of circle P measures 18 units long and the radius QB of circle Q measures 8 units longs. The line segment between the centers of the circles measure 26 units long. Find x.

Find CE if BE = 10 and AC = 20.

• 4

• 5

• 6

• 7

A tangent line XY touches the circle A at point B and formed the radius AB. Is it true that the radius AB perpendicular to the tangent line XY?

• Yes, the radius is perpendicular to the tangent line.

• Yes, the tangent line is the radius of the circle.

• No, the radius is not perpendicular to the tangent line.

• No, the radius of the circle is secant and tangent to the circle.

How do you know if a line is tangent to a circle?

• When it is parallel to the circle.

• When it pass through to the center of the circle.

• When it touches the circle in exactly two point.

• When it touches the circle in exactly one point.

Line SR is perpendicular to the segment PT of circle P at point T.

What do you call the line SR?

• chord

• diameter

• tangent line

• secant line

Line SR is perpendicular to the segment PT of circle P at point T.

What do you call the point T?

• point of tangency

• point of sale

• point of wave

• point of reference

In the figure shown, line m and line n are common external tangents to circles A and B. If line m = 2x + 7 and line n = 3x – 8, how long are lines m and n?

• 37

• 45

• 15

• 30

The length of the external common tangent is 15 units. If the radii of the two circles A and Z are 6 units and 12 units, respectively, find the distance between the centers of the two circles.

• 12

• 60

• 70

• 80

• 90

What is the purpose of drawing a line segment joining the centers of the circles?

• To test if the common tangent intersects the segment.

• To determine if the circles are tangent internally or tangent externally.

• To check if the circles are round.

• To classify the line segment as tangent line.