Thread: Co-ordinates and Geometry

Hello everyone, I'm new to MathHelpForum and I have recently been taking Grade 10 math classes (I'm grade 9 going into grade 10, took classes to get an opportunity to be ahead of my grade 10 class), so I've been stuck on this problem involving Co-ordinates and Geometry, and now that I have introduced myself here it is:

A see-saw has its pivot at P(2,3) and one end at A (-2,-3). find the co-ordinates of the other end.

Could someone explain to me how I could find the co-ordinates of the other end? I've been confusing myself with distance formulas and such with this question..., help would be appreciated, thank you.

Originally Posted by Qazqaz312312

Hello everyone, I'm new to MathHelpForum and I have recently been taking Grade 10 math classes (I'm grade 9 going into grade 10, took classes to get an opportunity to be ahead of my grade 10 class), so I've been stuck on this problem involving Co-ordinates and Geometry, and now that I have introduced myself here it is:

A see-saw has its pivot at P(2,3) and one end at A (-2,-3). find the co-ordinates of the other end.

Could someone explain to me how I could find the co-ordinates of the other end? I've been confusing myself with distance formulas and such with this question..., help would be appreciated, thank you.

Welcome to the forum!

Based on my knowledge of see-saws, the pivot is exactly half way between the two ends. That is, if we label the point we seek B, we can use that P is the midpoint of A and B. Can you solve from here?

Hey, thanks!,

well, I figured the pivot point was the midpoint already, but I appreciate the help.

So I found that if I calculated the slope between point P and point A, I could use the slope to find the other end of the see-saw(point B),

Thanks!, the answer should be...(6,9).

Time to tag this thread as solved...

Originally Posted by Qazqaz312312

Hey, thanks!,

well, I figured the pivot point was the midpoint already, but I appreciate the help.

So I found that if I calculated the slope between point P and point A, I could use the slope to find the other end of the see-saw(point B),

Thanks!, the answer should be...(6,9).

Time to tag this thread as solved...

Using the slope is a good way. Another way is to realise that if we label B(x,y), then 2 is halfway between -2 and x, and 3 is halfway between -3 and y. So take x = 2 + (2- (-2)) and y = 3 + (3 - (-3)).

Hmmm, haven't actually thought about it that way, but thanks again!

I'll keep note of your solution, it's much simpler and faster than using the slope.