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Mathematics 14 Online
SkinnyMinnie20:

Find the coordinates of the vertices of the rectangle centered at the origin with base 2b and height 2h.

SkinnyMinnie20:

|dw:1507410771762:dw|

Angle:

Hello @SkinnyMinnie20 I am not sure what your problems means by the base is = 2b do you mean just "2" or does your lengths include variables such as "b" ?

SkinnyMinnie20:

I have no idea this is all the information i got

Angle:

I will assume it is just base = 2 and height = 2 then if you are centered on the origin (0, 0) if you have a base of 2, that means that your rectangle goes from "1 unit" left of the origin to "1 unit" right of the origin |dw:1507414484470:dw|

Angle:

Does that make sense?

Angle:

|dw:1507414784037:dw|

SkinnyMinnie20:

a little

Angle:

what part do you not understand still? :)

SkinnyMinnie20:

How I would show my work

Angle:

hmmm if a rectangle is centered on the origin, with a base of "b" and a height of "h" then the coordinates of the vertices of the rectangle are: \[( \frac{-b}{2}, \frac{-h}{2} ),~(\frac{-b}{2}, \frac{h}{2}),~(\frac{b}{2}, \frac{-h}{2}),~(\frac{b}{2}, \frac{h}{2})\]

Angle:

in this case: base = 2 so base / 2 = 1 then the points are (-1, -1), (-1, 1), etc

SkinnyMinnie20:

okay thank you

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