Question

r

Answer 1

use the midpoint formula?

Answer 2

You may use the midpoint formula to find point X

Answer 3

However if you're trying to do this without graph paper, I wouldn't suggest doing so.

Answer 4

@hero for the midpoint I got (3,4)

Answer 5

Okay, great

Answer 6

1. Plot the given points on xy plane
2. Find the mid point of PQ
3. Label the mid point as point X
4. Rotate segment PX 90 degrees counterclockwise using point X as the pivot.
5. Label the endpoint of the rotated segment as P'X
6. Rotate segment QX 90 degrees counterclockwise using X as the pivot.
7. Label the endpoint of the rotated segment as Q'X
8. Either P' or Q' will be the point of interest.

Answer 7

The rest I'm completed confused about.. :/

Answer 8

completely*

Answer 9

Basically segments PX and P'X form a right angle with point X as the vertex

Answer 10

P' is one of the points you are looking for

Answer 11

PX and P'X have slopes that are negative reciprocals of each other.

Answer 12

I with you so far :)

Answer 13

What is the slope of PX?

Answer 14

-3/2

Answer 15

So what is the slope of P'X?

Answer 16

That's where I'm confused, is it the reciprocal 2/3?

Answer 17

Yes

Answer 18

Now, that you know this, I'll have to walk you through how to get from point P to P'

Answer 19

Start with point P then count two units to the right. Then count 3 units down. You should be at point X afterwards. From there, count two units down, then 3 units to the left. That will be point P'

Answer 20

Let me know the coordinates of P'

Answer 21

P (1,7) and Q (5, 1)

Answer 22

Those are the given coordinates.

Answer 23

P' is the point after rotation

Answer 24

Follow the steps I gave you previously to find P'

Answer 25

See I don't understand how to do all that...