Question

Pre image ABCD was dilated to produce image A’B’C’D why is the scale factor from the pre image? Enter your answer in the box as a fraction

Answer 1

The scale factor of the dilation from ABCD to A′B′C′D′ is 3.

Step-by-step explanation:

Step 1:

In the pre-image ABCD, the length of one of the sides is given as 14 units.

For the other shape A′B′C′D′, the same side as the previous shape is given as 8 units.

Step 2:

To determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

In this case, it is the given length of the sides CD and C′D′.

So the scale factor = $\frac{C^{1} D^{1} }{CD} = \frac{8}{14} = \frac{4}{7} .$

So the shape ABCD is dilated by a scale factor of $\frac{4}{7}$ to produce the shape A′B′C′D′.