Intersecting Chords Worksheet

A worksheet covering properties and calculations related to intersecting chords in circles for Grade 12 Geometry.

Grade 12 Math GeometryIntersecting Chords

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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

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

Topics

GeometryCirclesChordsGrade 12

7 sections · Free to use · Printable

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Intersecting Chords Worksheet

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

1. State the Intersecting Chords Theorem. Include a diagram to illustrate your explanation.

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

3. In a circle, if chords AB and CD intersect at point P, then AP ⋅ PB = .

4. Chords AB and CD intersect at point P inside a circle. If AP = 6, PB = 8, and CP = 4, what is the length of PD?

5. Chords RS and TU intersect at V inside a circle. If RV = x, VS = x + 5, TV = 6, and VU = 4, find the value of x.

6. In a circle, two chords intersect. The segments of one chord are 3 cm and 8 cm. The segments of the other chord are 4 cm and y cm. Find the value of y.

7. If two chords intersect outside a circle, the Intersecting Chords Theorem still applies.

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