Question

The midpoint of UV is (5,-11). The coordinates of one endpoint are U(3,5). Find the coordinated of endpoint V.

Answer 1

@pooja195 @SolomonZelman @zepdrix Halp

Answer 2

Consider one coordinate at a time. Take the x-coordinates, for example. Endpoint U has an x-coordinate of 3 and the midpoint has an x-coordinate of 5. The x-coordinate of endpoint V will be the same horizontal distance away from the midpoint.

Answer 3

Two

Answer 4

Then what x-coordinate would be 2 units away from 5, and in the opposite direction from endpoint U?

Answer 5

7?

Answer 6

Very good. Now do the same thing with the y-coordinates. Endpoint U has y-coordinate of 5, midpoint has y-coordinate of -11. Endpoint V has a y-coordinate the same vertical distance away from the midpoint in the direction opposite to endpoint U.

Answer 7

Sorry, I'm confused, same vertical distance away from he midpoint and the endpoint U?

Answer 8

OK. How many units do you need to move to go from 5 to -11?

Answer 9

16

Answer 10

Great. So keep going another 16 units and where do you end up?

Answer 11

Twenty-one??

Answer 12

No. Maybe the explanation is not clear. In the vertical direction (specified by the y-coordinates) you moved from a y-coordinate of 5 to a y-coordinate of -11 - a vertical distance of 16 units (technically -16 units). Keep moving another -16 units from -11 and where do you end up?

Answer 13

-27?

Answer 14

Correct. Now you have your x- and y-coordinates for the other endpoint.

Answer 15

(7,27)?

Answer 16

No. (7, -27)

Answer 17

Oh yeah sorry, forgot the negative--thankyou so much! This made a lot of sense >^-^<

Answer 18

You're welcome