Question

If RX = SX, then X must be the midpoint of RS

Answer 1

Only if R and S are collinear with X.

Answer 2

this is all the info im given and its either true or false

Answer 3

Said another way, suppose RSX is an isosceles triangle. RX = SX, but X is not the midpoint of RS.

Answer 4

So, do you think it's true?

Answer 5

well normally if it were true it would be written RX=XS

Answer 6

Either way to write it is ok. Do you think the initial statement is true?

Answer 7

well, yes. as i have been given similar problem set up the whole course

Answer 8

It isn't always true (see my counterexample above), so it is false. There are cases where it is true, but it isn't true in general, since there is at least one example where it is false. Get it?

Answer 9

yes, i see.

Answer 10

Good. Do math every day.