Question

Geometry Question:

Which statement best explains why the same steps are used to construct the perpendicular to a line segment and the bisector on a line segment?

The bisector of a line segment is the perpendicular bisector when using a compass and straightedge.

Arcs and line segments have to be drawn for both constructions when using geometric measurement tools.

The perpendicular to a line segment is always bisected by the line segment on which it is constructed.

The same set of geometric tools is required for both constructions to ensure precision and accuracy.

Answer 1

B is true and a solid answer imo. can't tell you if it's the BEST though

Answer 2

C The perpendicular to a line segment is always bisected by the line segment on which it is constructed. is the answer
B and Dare mere choices given to this MCQ!
A - The bisector of a line segment is the perpendicular bisector when using a compass and straightedge. It's true but the perpendicular is not the only line that bisect a straight line! one can draw a slant line which still bisects the the given straight line. although this statement is true it doesn't answer the question!
So i think C is the correct answer!

Answer 3

C implies that the only way to draw a line perpendicular to another is by bisecting the latter.

bisecting (perpendicular at mid-point of line segment)

I don't think it's the case, but please let me know if I'm wrong.

@Mandila @Isabella1220

Answer 4

well since it got the word "always" you got a point!
then A becomes the only possible answer and even I feel that's more convincing now! otherwise what answer do you suggest @Euler271

Answer 5

I was thinking B.

A seems like it is also saying that it is "every case". but it could be right

Answer 6

if u foolow difffrnt steps to draw perpendicular and a bisector then u dnt have 2 b using arcs and line segments!

Answer 7

oh. not aware of any, but in that case, A is right

Answer 8

hehe me too! but i was just pointing out the rational! :)