Lengths of Segments of a Secant and a Tangent

What type of segments are being shown?

• secant

• tangent

• both

What do you call a line that intersects a circle at exactly one point?

• external secant line

• internal secant line

• tangent line

• secant line

What is the value of x? (Hint: Segment Lengths in Circles)

• 1.03

• 2.12

• 1.25

• 0.87

Solve for x. (Hint: Length of Tangent Lines from the Same External Point)

• 42.4

• 52

• 52.3

• 42

What is the relationship between the lengths of a secant segment and its external segment?

• The length of the secant segment is smaller than the length of its external segment.

• Product of the lengths of the secant segment and its external segment is equal to the product of the lengths of the two segments formed when the secant intersects the circle.

• The length of the secant segment is greater than the length of its external segment.

• The length of the secant segment is equal to the length of its external segment.

If a tangent segment and a secant intersect in the exterior of a circle, then the __________ of the length of the tangent segment is equal to the product of the lengths of the secant segment and its external part.

• product

• equal

• square

• difference

What is the value of x in figure 5.

• 6

• 36

• 9

• 45

In figure 6, what is the length of segment GA?

• 6

• 8

• 10

• 12

Refer to figure 1, what do you call segment AB?

• exterior segment

• external secant segment

• internal secant segment

• interior segment

What are you finding in this problem?

• secant segment lengths

• tangent segment lengths

• tangent angles

• secant angles