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

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Question: If two circles intersect at points A and B, what can be said about the line segment AB?

Options:

Correct Answer: It is a chord of both circles

Solution:

The line segment AB is a chord of both circles since it connects two points on each circle.

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

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.

Chord of a Circle – A line segment whose endpoints lie on the circle.
Intersection of Circles – The points where two circles meet, which can be used to define segments and properties related to both circles.