Consider the dilation.

Pre-image: A(−4, 2), B(4, 4), and C(−1, 2)

Image: A′(−2, 1), B′(2, 2), and C′(−1/2, 1)

Is the dilation an expansion or contraction? What is the scale factor?

Question

Consider the dilation.

Pre-image:  A(−4, 2),  B(4, 4), and  C(−1, 2)

Image:  A′(−2, 1),  B′(2, 2), and  C′(−1/2, 1)

Is the dilation an expansion or contraction? What is the scale factor?

will.h · Answer

Okay so to find the scale factor let's take the x values of the points A and A'
And know that we should divide the image on the pre image to find the scale factor

-2/-4 = 0.5 that's the scale factor. To verify you may multiply that by the pre image coordinates.

will.h · Answer

And since the scale factor less than 1 then it is contraction

matthewdaddario · Answer

Thank you so much!

will.h · Answer

You welcome