A figure has been dilated from the origin by a scale factor of of. If another dilation from the origin maps the dilated image back
onto the original figure, what is its scale factor?

See Explanation

Step-by-step explanation:

The question has missing details. So, I'll solve using a general assumption.

Let one of the coordinates of the figure be

Let the scale factor be n

When dilated, the new figure is:

To return the image back to the original figure, the new scale factor mus be a reciprocal of the previous scale factor i.e.

So:

Substitute n(x,y) for A';

Take for instance:

-- scale factor

To get A from A', using the analysis above

i need a picture

step-by-step explanation: