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 answer my question

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

substitute the values

The absolute value of the scale factor is less than 1

therefore

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

a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a solution of the equation x2 = −1. because no real number satisfies this equation, i is called an imaginary number. has no real solution, since the square of a real number cannot be negative.