Secants in Circles Worksheet

Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.

Grade 11 Math GeometrySecants

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Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSG.C.A.2CCSS.MATH.CONTENT.HSG.C.A.3

Topics

mathgeometrycirclessecantsgrade 11

7 sections · Free to use · Printable

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Secants in Circles

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. A line that intersects a circle at exactly two points is called a:

Tangent

Chord

Secant

Radius

2. If two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external segment is equal to the product of the measures of the other secant segment and its external segment. This describes the:

Tangent-Tangent Theorem

Secant-Secant Theorem

Chord-Chord Theorem

Tangent-Secant Theorem

3. A secant line intersects a circle at distinct points.

4. When a tangent segment and a secant segment are drawn to a circle from an exterior point, the square of the length of the tangent segment is equal to the product of the of the secant segment and its segment.

5. In the circle below, secant AB and secant CD intersect at point P outside the circle. If AP = 10, BP = 4, and CP = 8, find the length of DP.

6. A secant segment is always longer than its external segment.

True

False

7. The intersection of two secants inside a circle creates two pairs of similar triangles.

True

False

8. A tangent segment and a secant segment are drawn to a circle from an external point. The tangent segment is 12 units long. The secant segment has an external segment of 4 units and an internal segment of x units. Find the value of x.