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Question

Rectangle Q has an area of two square units. Thea drew a scaled version of rectangle Q and labeled it rectangle R. what scale factor did Thea use to go from rectangle Q to rectangle R?


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Solution

Step-1: Given data.

It is given that Rectangle Q has an area of 2 square units.

Step-2: To find the scale factor used.

Thea Drew a scaled version of Rectangle Q and marked it as R.

As you must keep in mind If we draw a scaled copy of the pre-image, then the two images i.e Pre-image and Image are similar.

Suppose , Let the Scale factor of transformation=k

Rectangle Q = Pre -image, Rectangle R = Image

If, Pre-Image < Image , then scale factor isk>1.

But If, Pre-Image > Image , then Scale factor will be i.e lies between,0<k<1.


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