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describe the sequence of transformations that maps triangle xyz onto triangle x”y”z”

The transformation

maps triangle XYZ onto triangle X”Y”Z”.

Step-by-step explanation:

Let us take point Z on the XYZ triangle and see what sequence of transformations we have to apply to map it into the point Z''.

Now Z = (-2, 2) and Z'' = (-7, -1).

The x-coordinate goes from -2 ⇒ -7.

The y-coordinate goes from 2 ⇒  -1.

The x-coordinate is just shifted by -5; thus, , and the y-coordinate first transforms as , and is then shifted by 1; thus, it transforms as .

So we have the full transformation