Question

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

Answer 1

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

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

`z=(A'B')/(AB)`

substitute the values

`z=(2)/(4)=(1)/(2)`

The absolute value of the scale factor is less than 1

therefore

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