SOLUTION: Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence? a.(x,y) > (-x, y) b.(x,y) > (x+6, y+6) c.(x,y) > (6x, 6y) d.(x,y)

SOLUTION: Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence? a.(x,y) > (-x, y) b.(x,y) > (x+6, y+6) c.(x,y) > (6x, 6y) d.(x,y) > (-

Question 1196006: Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?

a.(x,y) > (-x, y)
b.(x,y) > (x+6, y+6)
c.(x,y) > (6x, 6y)
d.(x,y) > (-y, x)
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

Choice A is a reflection over the y axis
Choice B is a translation of 6 units to the right and 6 units up
I'll get back to choice C later
Choice D is a 90 degree rotation counterclockwise

Choices A, B and D are rigid transformations. They do not change the size and shape of the figure.
The preimage and image will be congruent figures.
So we can rule them out.

Choice C describes a dilation.
The jump from (x,y) to (6x,6y) means the points are 6 times further away from the origin than before.
Consequently it leads to the image being 6 times larger compared to the preimage.
This size change is enough to conclude congruence has NOT been preserved.

Answer: Choice C

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