Question

Where do perpendicular bisectors intersect the intercepted arcs?

Answer 1

and also . ... Suppose you have a circle with two chords that are not congruent. Is the
shorter chord farther from the center or closer to the center than the
longer chord?

Answer 2

@wio @gaberdeen can you help ? please.

Answer 3

Ok, I'll try to help as best as I can. I'll start with the first question.

I'm assuming the intercepted arcs look like this. (bad drawing, I know). Is this what you mean so far?

Answer 4

Yes .

Answer 5

Ok. For this problem, do they mean that the perpendicular bisector is just bisecting a line?

If yes, then according to what I know, the bisector intersects where those two arcs/circles meet.

Answer 6

Does it have a name like central bisecting or something. im sorry i am in a rush and trying to get this stuff done within the next 4 hours.

Answer 7

It's ok! However, I don't think there is a name for it . . . Do they want a written answer, or can you just label a drawing? I guess you could say they intercept the intercepted arcs in two places, but that might not be correct.

Answer 8

As for the chords question, unfortunately I am currently learning about them myself, so I don't think I can accurately help you there. The way I'm learning about chord functions is pretty different than what you're learning about them, it seems.

Answer 9

However common sense says that (if the center is the origin of a graph) that the shorter chord would be closer. I don't know if that helps at all . . .

Answer 10

Thank for all your help !

Answer 11

You're welcome. And good luck!

Answer 12

It can be shown that O1O2 bisects AB, as well as arcs ACB and ADB.
The name for a line which passes through the mid point of another and is perpendicular to it is called a perpendicular bisector.
For example, in the given example, O1O2 is the perpendicular bisector of line segment AB.

Answer 13

Thank you (:

Answer 14

You're welcome!

Answer 15

could you help a few more ?