If a radius of a circle bisects a chord, then it is ___ to that chord.

Answer:

perpendicular

explaination:

When a radius of a circle bisects a chord, it means that the radius intersects the chord at its midpoint. This intersection creates two equal segments of the chord. The property of the radius bisecting the chord leads to the conclusion that the radius is perpendicular to the chord. This can be proven using triangle properties and the fact that the radius to the midpoint of the chord creates right triangles. In these triangles, the angles formed are such that the radius is at a right angle (90 degrees) to the chord, confirming that the radius is indeed perpendicular to the chord.

Topic: Geometry, Circles, Chords

Tags: geometry circles chords perpendicular lines

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If a radius of a circle bisects a chord, then it is ___ to that chord.

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explaination: