Determine the scale factor of the following dilation. type a numerical answer in the space provided. do not type spaces in your answer. do, k (9, 6) (3, 2)

The scale factor of the following dilation is:

                            1/3

Dilation--

A dilation is a transformation which changes the size of the original figure.

It either shrinks or enlarges the figure by some fixed factor.

This factor is known as a scale factor.

Also, if the scale factor is k and the dilation is about the origin.

Then any point (x,y) is transformed to point (kx,ky).

Here (9,6) is transformed to (3,2) and the dilation is about the origin.

This means that:

  (9,6) → (9k,6k)

i.e.

(3,2) = (9k,6k)

i.e.

9k=3    and   6k=2

k=3/9   and   k=2/6

k=1/3  and  k=1/3

Hence, the scale factor is:  1/3

The scale factor of the following dilation is:

                            1/3

Dilation--

A dilation is a transformation which changes the size of the original figure.

It either shrinks or enlarges the figure by some fixed factor.

This factor is known as a scale factor.

Also, if the scale factor is k and the dilation is about the origin.

Then any point (x,y) is transformed to point (kx,ky).

Here (9,6) is transformed to (3,2) and the dilation is about the origin.

This means that:

  (9,6) → (9k,6k)

i.e.

(3,2) = (9k,6k)

i.e.

9k=3    and   6k=2

k=3/9   and   k=2/6

k=1/3  and  k=1/3

Hence, the scale factor is:  1/3

594 square inches

step-by-step explanation:

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