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Kevin drew square WXYZ on a grid. He then translated the square 3 units along the x-axis and -1 unit along the y-axis. What are the new coordinates of the square?

Answer :

By dilation the square's new coordinates are W'(3, 2), X'(3, 4), Y'(1, 4), and Z' (1, 2).

DILATION: WHAT IS IT?

Dilation is a transition in geometry that alters an object's size without altering its general shape. Given that it is a non-rigid transformation, the preimage and image are not congruent, and the distance between their points does not stay constant. Dilation can describe either a growth or a contraction in size1.

For instance, if we enlarge a square by a factor of 2, its area will increase by four times and each of its sides will be twice as long as before. A circle will have a radius that is three-fourths longer than previously and an area that is nine-sixteenths larger if we dilate it by a factor of 3/4.

In geometry, translation is a rigid transformation that maintains the size and shape of a figure while shifting each point by the same amount in a certain direction.

. To translate a square, we shift each corner to its new location by the specified distance.

Kevin translated the square in this instance by 3 units along the x-axis and -1 unit along the y-axis

. So, to obtain the new coordinates of the square W'X'Y'Z', we add 3 to each x-coordinate and remove 1 from each y-coordinate of the original square WXYZ.

- W'(3, 2) (3, 2)

- X'(3, 4) (3, 4)

- Y'(1, 4) (1, 4)

- Z'(1, 2) (1, 2)

To know more about dilation visit:

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