Intersecting Chords Worksheet

This worksheet focuses on problems involving intersecting chords within a circle, applying the intersecting chords theorem.

Grade 11 Math GeometryIntersecting Chords

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Includes

2 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

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

Topics

geometrycircleschordsintersecting chords theoremgrade 11 math

7 sections · Free to use · Printable

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Intersecting Chords Worksheet

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Read each question carefully and solve for the unknown values using the Intersecting Chords Theorem. Show all your work.

1. In the circle below, chords AB and CD intersect at point E. If AE = 6, EB = 4, and CE = 3, find the length of ED.

2. Chords PQ and RS intersect at T. If PT = 8, TQ = x, RT = 6, and TS = 4, then x = .

3. Consider a circle where two chords intersect. One chord is divided into segments of length 7 units and 5 units. The other chord is divided into segments of length x units and 10 units. Find the value of x.

4. The Intersecting Chords Theorem states that if two chords intersect inside a circle, then the product of the segments of one chord is equal to the product of the segments of the other chord.

True

False

5. Chords KL and MN intersect at O. If KO = 5, OL = x + 2, MO = 3, and ON = 10, which equation correctly represents the Intersecting Chords Theorem?

5(x + 2) = 3 + 10

5 + (x + 2) = 3 * 10

5(x + 2) = 3 * 10

5 * 3 = (x + 2) * 10