Skip to main content
Master

Intersecting Chords Theorem

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

Understanding Intersecting Chords Theorem

Choose your learning level

Watch & Learn

Video explanation of this concept

concept. Use space or enter to play video.
Beginner

Start here! Easy to understand

Now showing Beginner level explanation.

Beginner Explanation

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

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.
Click to reveal the detailed solution for this question exercise.
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.

Click to reveal the detailed explanation for this thinking exercise.
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

Watch & Learn

Review key concepts and takeaways