Math Is Fun Forum

Louisa Crawford

Guest

Find the Coordinates of Endpoint V

Hi! So I have a problem I need to help my daughter out on but I have long since forgotten how to do all this.

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

If someone could carefully explain the steps to this question, that would be great!

evene

Member

Registered: 2015-10-18

Posts: 272

Re: Find the Coordinates of Endpoint V

The midpoint formula is

where

is one endpoint, and

is the other.

Since we know one endpoint and know the midpoint, using the midpoint formula, we can find the unknown endpoint.

So plugging everything in, we obtain

For x, we multiply both sides by 2 and subtract 3 to get

. For y, we (again) multiply both sides by 2 and subtract 5 to get

. Therefore,

Last edited by evene (2016-10-05 15:23:32)

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Find the Coordinates of Endpoint V

Hi;

Therefore,

An arithmetic error was made in the calculation of y, V = (7, -27), everything else looks good.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

evene

Member

Registered: 2015-10-18

Posts: 272

Re: Find the Coordinates of Endpoint V

Ah! Thank you for that notice...

thickhead

Member

Registered: 2016-04-16

Posts: 1,086

Re: Find the Coordinates of Endpoint V

Alternate way is V divides UM in the ratio 2:-1.So

but most likely it is a problem on midpoint formula at school and evene's approach is preferable.

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