Question

Pentagon WFNSC is shown on the coordinate grid. Pentagon WFNSC is dilated with the origin as the center of dilation using the rule (x, y)→(3x, 3y) to create pentagon pentagon W′F′N′S′C′.

Which statement is true?

Answer 1

The answer to your problem is, Pentagon W'F'N'S'C' is larger than pentagon WFNSC because the scale factor is greater than 1.

Explanation:

If a point (x, y) is dilated by a scale factor 'k', image point will be given by the rule,

(x, y) → (kx, ky)

• If k > 1, image point will be larger than its preimage.
• If k < 1, image point will be smaller than its image.

Given in thus question:

A pentagon WFNSC is dilated following the rule of dilation as, (x, y) → (3x, 3y)

Here, k > 3 which shows that the image will be larger than the preimage.

Therefore, pentagon W'F'N'S'C' will be larger than pentagon WFNSC because the scale factor is greater than 1.

Thus the correct answer to your problem is, Pentagon W'F'N'S'C' is larger than pentagon WFNSC because the scale factor is greater than 1.