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

Practice Questions

Q1
In a circle, if a chord is perpendicular to a radius at its endpoint, what can be said about the chord?
  1. It is the longest chord.
  2. It is a diameter.
  3. It bisects the circle.
  4. It is bisected by the radius.

Questions & Step-by-Step Solutions

In a circle, if a chord is perpendicular to a radius at its endpoint, what can be said about the chord?
  • Step 1: Understand what a chord is. A chord is a straight line that connects two points on the edge of a 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 edge.
  • Step 3: Recognize that if a radius meets a chord at a right angle (90 degrees) at the endpoint of the chord, it is perpendicular to the chord.
  • Step 4: Learn the property: When a radius is perpendicular to a chord, it divides the chord into two equal parts.
  • Step 5: Conclude that the chord is bisected, meaning it is cut into two equal lengths.
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