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User Phil Gan
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∆XYZ is rotated 180⁰ around the origin and translated 2 units down to produce ∆X'Y'Z'.

What is transformation of shape?

Given the pre-image vertices X(6,-2), Y(7,-6) and Z(1,-6) and image vertices of XYZ as X'(-6,0), Y'(-7,4) and Z'(-1,4)

When ∆XYZ is rotated 180⁰ around the origin

The coordinates of x and y are negated

new coordinates

X(6,-2) = (-6,2)

Y(7,-6) = (-7,6)

Z(1,-6) = (-1,6)

Translate the the new coordinates 2 units down.

(x,y) = (x,y-2)

X(-6,2) = X'(-6,0)

Y(-7,6) = Y'(-7, 4)

Z (-1,6) = Z'(-1,4)

This corresponds to vertices of the image.

Therefore, ∆XYZ is rotated 180⁰ around the origin and translated 2 units down to produce ∆X'Y'Z'.

User TacheDeChoco
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