Square ABCD was dilated to form square A’B’C’D’. Is this a reduction or an enlargement? What scale factor was used? (3 points)
can someone please answer my question

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calculista calculista · Answer 1 · 2019-11-28T22:16:37+01:00

Answer:

This is a reduction and the scale factor is 1/2

Step-by-step explanation:

we know that

The dilation is a non rigid transformation that produces similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z ----> the scale factor

If the absolute value of the scale factor is greater than 1 then the dilation is a enlargement

If the absolute value of the scale factor is less than 1 then the dilation is a reduction

step 1

Find the scale factor

The scale factor is equal to the ratio of its corresponding sides

so

[tex]z=\frac{A'B'}{AB}[/tex]

substitute the values

[tex]z=\frac{2}{4}=\frac{1}{2}[/tex]

The absolute value of the scale factor is less than 1

therefore

This is a reduction and the scale factor is 1/2