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If two chords in a circle intersect each other, what is the relationship between

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Question: If two chords in a circle intersect each other, what is the relationship between the segments of the chords?

Options:

  1. The segments are equal
  2. The product of the segments is equal
  3. The sum of the segments is equal
  4. The segments are perpendicular

Correct Answer: The product of the segments is equal

Solution:

The intersecting chords theorem states that the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

If two chords in a circle intersect each other, what is the relationship between

Practice Questions

Q1
If two chords in a circle intersect each other, what is the relationship between the segments of the chords?
  1. The segments are equal
  2. The product of the segments is equal
  3. The sum of the segments is equal
  4. The segments are perpendicular

Questions & Step-by-Step Solutions

If two chords in a circle intersect each other, what is the relationship between the segments of the chords?
  • Intersecting Chords Theorem – This theorem states that if two chords intersect inside a circle, the products of the lengths of the segments of each chord are equal.
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