How do you dilate a figure on the coordinate plane?

The simple way to dilate from the origin is to multiply each coordinate by the dilation factor.

Example:

point A(2,-4) dilated by 2

A'(2*2, -4*2) = A'(4, -8)

Point A dilated by 1/2

A''(2*1/2, -4*1/2) = A''(1, -2)

If you have multiple points dilated by the same factor, then follow the procedure for ALL the points

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

-81 -56 -27 0 81

step-by-step explanation: