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A line, ray, or segment that intersects a segment at its midpoint is said to:

(a) Perpendicular
(b) Concurrent
(c) Bisecting
(d) Tangential

1 Answer

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Final answer:

The correct answer to the question is (c) Bisecting, which means to divide a segment into two equal parts at its midpoint. This is a key concept in geometry, distinct from being perpendicular, concurrent, or tangential.

Step-by-step explanation:

A line, ray, or segment that intersects a segment at its midpoint is said to bisect the segment. The correct answer is (c) Bisecting. Bisecting means to divide into two equal parts. In the context of geometric figures, particularly a line segment, a bisecting line, ray, or segment will intersect the segment at its midpoint, creating two segments of equal length.

This is a fundamental concept in geometry and is often associated with the creation of perpendicular bisectors, which not only bisect the segment but are also perpendicular to it, forming a 90° angle.

When a line, ray, or segment bisects another, it does not necessarily mean that the two are perpendicular unless it is specifically stated.

However, the bisector can be perpendicular, concurrent (intersecting at a single point), tangential (touching but not intersecting), or simply bisecting without any of those additional properties.

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