Intersecting Chords Worksheet

This worksheet focuses on problems involving intersecting chords within a circle, including finding unknown segment lengths and applying the Intersecting Chords Theorem.

Grade 8 Math GeometryIntersecting Chords

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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

geometrycircleschordsintersecting chordsgrade 8

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. Show all your work.

1. In the circle below, chords AB and CD intersect at point E. If AE = 6, EB = 8, and CE = 4, what is the length of ED?

Show your work:

2. Chords PQ and RS intersect at point T inside a circle. If PT = 9, TQ = 5, and RT = 3, find the length of TS.

3. 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 of the segments of the other chord.

4. If a chord is divided into segments of length 'a' and 'b' by an intersecting chord, and the second chord is divided into segments 'c' and 'd', then the theorem can be expressed as .

5. Chords AC and BD intersect at point E. If AE = x, EC = 12, BE = 8, and ED = 6, what is the value of x?

6. A circular stained-glass window has two intersecting support chords. One chord is divided into segments of 10 inches and 15 inches. If the other chord has a total length of 25 inches, what are the lengths of its two segments?

7. The point where two chords intersect within a circle is always the center of the circle.

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