Posted by **debbie** on Tuesday, January 17, 2012 at 11:37am.

The endpoints of one diagonal of a rhombus are (0, -8) and (8, -4). If the coordinates of the 3rd vertex are (1, 0), what are the coordinates of the 4th vertex?

(7, -12)

(7, -8)

(-8, -4)

(-4, -12)

- Geometry -
**Reiny**, Tuesday, January 17, 2012 at 1:50pm
Simplest way, just count on the grid ...

you have 3 points, and you know that opposite sides must be parallel and equal

A quick calculation shows that each of the given sides is √65 , so far so good.

For the line from (1,0) to (0,-8) we went one to the left, then 8 down

so from (8,-4) go 1 left, then 8 down to get

(7, -11)

(check by taking the lengths of the new lines, I did,

they were both √65)

- Geometry -
**dalena**, Thursday, January 19, 2012 at 1:19am
/:-) /xcfrff

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