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Intersecting Chords Theorem

Master intersecting chords theorem with interactive lessons and practice problems! Designed for students like you!

Understanding Intersecting Chords Theorem

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Video explanation of this concept

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Beginner

Start here! Easy to understand

Beginner Explanation

If two chords intersect in a circle, the products of the lengths of their segments are equal: $AE \cdot EC = DE \cdot EB$
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Practice Problems

Test your understanding with practice problems

1

Quick Quiz

Single Choice Quiz
Beginner

In a circle, chords AB and CD intersect at point E, dividing them into segments AE, EC, DE, and EB. If AE = 4, EC = 5, and EB = 10, find DE.

Please select an answer for all 1 questions before checking your answers. 1 question remaining.
2

Real-World Problem

Question Exercise
Intermediate

Teenager Scenario

You're designing a circular garden in which two chords (paths) AB and CD intersect at point E, dividing them into segments AE = 3, EC = 9, DE, and EB = 6. Calculate DE to ensure symmetry.
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3

Thinking Challenge

Thinking Exercise
Intermediate

Think About This

Assume in a circle that chords AB and CD intersect at E, creating segments AE, EC, DE, and EB. If AE = 5, EC = 3, and EB = 4, challenge yourself to find DE.

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4

Challenge Quiz

Single Choice Quiz
Advanced

In a circle, chords AB and CD intersect at point E, creating segments AE = x, EC = 2x + 1, DE = 3, and EB = x + 3. Solve for x.

Please select an answer for all 1 questions before checking your answers. 1 question remaining.

Recap

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Review key concepts and takeaways

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