If two circles intersect at points A and B, what can be said about the line segm

Practice Questions

Q1
If two circles intersect at points A and B, what can be said about the line segment AB?
  1. It is a diameter of both circles
  2. It is a chord of both circles
  3. It is a tangent to both circles
  4. It is a secant to both circles

Questions & Step-by-Step Solutions

If two circles intersect at points A and B, what can be said about the line segment AB?
  • Step 1: Identify the two circles that intersect at points A and B.
  • Step 2: Understand that points A and B are on both circles.
  • Step 3: Recognize that a chord is a line segment that connects two points on a circle.
  • Step 4: Since AB connects points A and B, which are on both circles, it is a chord of the first circle.
  • Step 5: Similarly, since AB connects points A and B, it is also a chord of the second circle.
  • Step 6: Conclude that the line segment AB is a chord of both circles.
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