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Denise proposes the following transformation rule for this rotation:

(x,y) ➝ (y+4, -x-2)

Does this rule work? Justify your answer.​

Denise proposes the following transformation rule for this rotationxy y4 x2Does this rule work Justify your answer class=

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absor201

Answer:

The proposed rule correctly works.

Step-by-step explanation:

As the original triangle has the vertices with the coordinates

  • A(-6, 6)
  • B(-6, 1)
  • C(-2, 1)

From the given diagram, the image of the triangle has the vertices

A'(10, 4)

B'(5, 4)

C'(5, 0)

According to the proposed rule, the image should have the following vertices.

(x,y) ➝ (y+4, -x-2)

A(-6, 6) ➝ (6+4, -(-6)-2) = A'(10, 4)

B(-6, 1) ➝ (1+4, -(-6)-2) = B'(5, 4)

C(-2, 1) ➝ (1+4, -(-2)-2) = C'(5, 0)

So, the coordinates of the image of the triangle are correctly drawn as per the proposed rule.

Therefore, the proposed rule correctly works.

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