which of the following is true about the bisectors of a segment in a plane?

A.) every segment has exactly one bisector

B.) every segment has exactly two bisectors

C.) every segment has ten bisectors

D.) every segment has infinitely many bisectors

Respuesta :

The bisector of a segment is a line, a ray, or a segment that intersects the segment at its midpoint. In a plane, there is an infinite number of lines that passes through every point, so, in a plane, there is an infinite number of bisectors of a segment.

Answer: D. every segment has infinitely many bisectors

D. Every segment has infinitely many bisectors.

What is a Bisector ?

The word bisect means dividing something into half.

We can bisect line segments.Bisecting a line segment will reduce the length by half.

We can bisects angles.Bisecting an angle will result in same bisecting a right angle will divide this right angle into two parts they are of 45° and 45°.

In the given statement

Every segment has infinitely many bisectors.

Suppose we have a line segment AB having length 8 units.If we bisect this AB line segment at point O the length of AO will be of 4 units.

Now again if we bisect AO line segment at point P it will have a length of 2 units and we can continue this process infinite times.

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