Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

which of the following statements about a bisector is true? it creates …

Question

which of the following statements about a bisector is true? it creates two equal angles or line segments the line segments are always parallel the angles created are always obtuse it creates two unequal angles or line segments

Explanation:

Brief Explanations
  • For the first option: A bisector (angle bisector or segment bisector) divides an angle or a line segment into two equal parts. So it creates two equal angles (for angle bisector) or two equal line segments (for segment bisector).
  • For the second option: A bisector doesn't imply the resulting line segments are parallel. For example, an angle bisector in a triangle creates two equal angles but the segments formed are not parallel.
  • For the third option: The angles created by a bisector can be acute, right, or obtuse depending on the original angle. For example, bisecting a 60° angle (acute) gives two 30° angles (also acute).
  • For the fourth option: By definition, a bisector divides into two equal parts, so it does not create two unequal angles or line segments.

Answer:

It creates two equal angles or line segments