Question

Trapezoid EFGH is shown on the coordinate grid. Trapezoid EFGH is dilated with the origin as the center of dilation using the rule (x, y)→(32x, 32y) to create trapezoid E'F'G'H'.
Which statement is true?

A
Trapezoid E'F'G'H' is larger than trapezoid EFGH because the scale factor is greater than 1.

B Trapezoid E'F'G'H' is smaller than trapezoid EFGH because the scale factor is less than 1.

C Trapezoid E'F'G'H' is larger than trapezoid EFGH because the scale factor is less than 1.

D Trapezoid E'F'G'H' is smaller than trapezoid EFGH because the scale factor is greater than 1.

Answer 1

Answer:

The true statement is;

A

Trapezoid E'F'G'H' is larger than trapezoid EFGH because the scale factor is greater than 1

Step-by-step explanation:

The given parameter is trapezoid EFGH is dilated using the rule (x, y) → (32·x, 32·y) to create trapezoid E'F'G'H'

Therefore, the dimensions of trapezoid E'F'G'H' are 32 times the dimensions of trapezoid EFGH and the scale factor of dilation is 32

Therefore, given that the scale factor used to obtain trapezoid E'F'G'H',  from trapezoid EFGH is greater than 1, trapezoid E'F'G'H' is larger than trapezoid EFGH