Question

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation centered at point P. What scale factor was used in the dilation? Enter your answer, as a simplified fraction, in the box. HELP ME PLS

Answer 1

The rectangle ABCD is dilated by a scale factor of 4/3 to produce rectangle A′B′C′D′.

What is the scale factor?

The scale factor states the scale or measurement by which a figure is bigger or smaller than the other figure. The size by which the figure would be reduced or enlarged is called its scale factor.

Suppose the initial measurement of a figure was x units. And let the figure is scaled and new measurement is of y units.

Then we have:

$s \times x = y\\s = \dfrac{y}{x}$

Thus, the scale factor is the ratio of the new measurement to the old measurement.

To find the scale factor used in the dilation, we have to divide the measurement after scaling by the same measurement before scaling.

From side B to C it is 40 units.

From side B' to C' it is 30 units.

     So, the scale factor = 40/30 = 4/3

Hence, The rectangle ABCD is dilated by a scale factor of 4/3 to produce rectangle A′B′C′D′.

Learn more about scale factors here :

brainly.com/question/8765466

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