When a figure is dilated by a scale factor greater than 1, the new figure is generally larger than the original. The perimeter of the new figure will be 3/2 times the perimeter of the original figure. Here option B is correct.
When a figure undergoes dilation with a scale factor greater than 1, like 3/2, the resulting figure typically becomes larger than the original. This is because dilation entails stretching or expanding the initial shape. Consequently, option A is incorrect.
For option B, the perimeter of the new figure will indeed be 3/2 times the perimeter of the original figure. This is because each side of the original figure is multiplied by the scale factor during dilation, and the perimeter is the sum of all sides.
For option C, the area of the new figure will be (3/2)^2 times the area of the original figure. This is because area is a two-dimensional measure, and each dimension is scaled by the square of the scale factor during dilation. Here option B is correct.
Complete question:
Tyrell dilated a figure by a scale factor of 3/2 Which of the following is a true statement?
A. The new figure will be smaller than the original figure.
B. The perimeter of the new figure will be 3/2 times the perimeter of the original figure.
C. The area of the new figure will be
D. All of the above are true.