contestada

which transformation would result in the area of a polygon being different from the area of its pre-image
a) (x,y) (-x,-y)
b) (x,y) (-y,-x)
c) (x,y) (x+h,y+k), where h and k are real numbers
d) (x,y) (kx,ky), where k doesn't equal 1

Respuesta :

slasherneo

D

because

A and B merely reflects the polygon on the graph

C merely translates the polygon

To cause a different area a graph usually must have a stretch or shrink and is indicated by multiplying either the x or y value. In this case both the x and y are being multiplied.

yoodyannapolis

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Properties preserved under a dilation from the pre-image to the image.

  • Angle measures (remain the same)
  • Parallelism (parallel lines remain parallel)
  • Collinearity (points remain on the same lines)
  • Orientation (lettering order remains the same)
  • Distance is not preserved (lengths of segments are not the same in all cases except a scale factor of 1).

So, we see that the area of the polygon would be different from the area of it's pre image in transformation: (x , y) (kx , ky), where k doesn't equal 1.

Therefore, option d is correct.

Learn more:https://brainly.com/question/16596053

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