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6. Point A (-16,8) is one of the verticesof a rectangle. After a dilation of 1/2, arotation of 90 degrees clockwise, and areflection over the x-axis, what are thecoordinates of A"'?

Respuesta :

Given the coordinate: A(-16, 8), let's perform the following:

First step:

A dilation with a scale factor of 1/2.

Here, we are to multiply the coordinates by 1/2.

A(-16, 8) ==> A'(-16*½, 8*½) = A'(-8, 4)

Second step:

Perform a rotation of 90 degrees clockwise.

(x, y) will change to (y, -x)

A'(-8, 4) ==> A''(4, 8)

Third step:

A reflection over the x axis.

To perform a reflection over the x axis, (x, y) becomes (x, -y)

A''(4, -8) ==> A'''(4, -8)

Therefore, the coordinates of A''' are:

A'''(4, -8)

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