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Triangle JKL undergoes a dilation centered at the origin. The result is triangle JKL'. Which rule describes the dilation? A) (x, y) → (2x, 2y) B) (x, y) → (4x, 4y) C) (x, y) → ( 1 4 x, 1 4 y) D) (x, y) → (− 1 2 x, − 1 2 y)

Triangle JKL undergoes a dilation centered at the origin. The result is triangle JKL'. Which rule describes the dilation? A) (x, y) → (2x, 2y) B) (x, y) → (4x, class=

Answer :

Answer:

1st answer is wrong

Explanation:

The rule that describes the dilation is (x, y) → ( 1/4 x, 1/4 y). Then the correct option is C.

What is dilation?

Dilation means the changing of the size of the object without changing the shape. The size of the object may be increased or decreased based on the scale factor.

Triangle JKL undergoes a dilation centered at the origin.

The result is triangle J'K'L'.

The points J(0, 4), K(8, 4), and L(4, -4). And the points J'(0, 1), K'(2, 1), and L'(1, -1)

Then the scale factor will be given as

[tex]\rm Scale \ factor = \dfrac{J'(0, 1)}{J(0, 4)} = \dfrac{1}{4}\\\\\\Scale \ factor = \dfrac{K'(2, 1)}{K(8, 4)} = \dfrac{1}{4}\\\\\\Scale \ factor = \dfrac{L'(1,-1)}{L(4, -4)} = \dfrac{1}{4}[/tex]

Then the scale factor is 1/4.

More about the dilation link is given below.

https://brainly.com/question/2856466

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