In a circle, if a chord is perpendicular to a radius at its endpoint, what can b

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Question: In a circle, if a chord is perpendicular to a radius at its endpoint, what can be inferred about the chord?

Options:

Correct Answer: It is bisected by the radius.

Solution:

A radius that is perpendicular to a chord at its endpoint bisects the chord.

In a circle, if a chord is perpendicular to a radius at its endpoint, what can be inferred about the chord?

In a circle, if a chord is perpendicular to a radius at its endpoint, what can be inferred about the chord?

Step 1: Understand what a chord is. A chord is a straight line that connects two points on the circle.
Step 2: Know what a radius is. A radius is a line that goes from the center of the circle to any point on the circle.
Step 3: Identify the point where the radius meets the chord. This point is called the endpoint of the chord.
Step 4: Recognize that if the radius is perpendicular to the chord at this endpoint, it means they form a right angle (90 degrees) at that point.
Step 5: Learn the property of circles: A radius that is perpendicular to a chord at its endpoint divides the chord into two equal parts.
Step 6: Conclude that the chord is bisected, meaning it is cut into two equal lengths by the radius.

Perpendicular Chord Theorem – In a circle, if a radius is perpendicular to a chord at its endpoint, it bisects the chord.