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Intersecting Chords Worksheet

Practice problems for understanding and applying the intersecting chords theorem in circles.

Grade 6 Math GeometryIntersecting Chords
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Includes

Text2 Short AnswerFill in the Blanksmultiple-choiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.A.2

Topics

mathgeometrycircleschordsgrade-6
8 sections · Free to use · Printable
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Intersecting Chords Worksheet

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

When two chords intersect inside a circle, the product of the segments of one chord is equal to the product of the segments of the other chord. This is known as the Intersecting Chords Theorem.

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

ABCDE

2. If two chords intersect inside a circle, the product of the segments of one chord is equal to the  .

3. Chords PQ and RS intersect at point T inside a circle. If PT = 8, TQ = 5, and RT = 10, what is the length of TS?

a

4 units

b

5 units

c

6 units

d

8 units

4. The intersecting chords theorem applies to chords that intersect outside the circle.

T

True

F

False

5. A chord has segments of lengths 7 cm and 8 cm. Another chord intersecting it has one segment of length 14 cm. What is the length of the other segment of the second chord?