Question

Im in need of help so please help[ :)))

Answer 1

Given:

Consider the pentagon MVEDR is dilated with the origin as the center of dilation using the rule $(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$ to create pentagon M'V'E'D'R'.

To find:

The correct statement.

Solution:

If a figure dilated by factor k, then the rule of dilation is

$(x,y)\to (kx,ky)$

Here,

If k>1, then the image is larger than the original figure.

If k<1, then the image is smaller than the original figure.

We have,

$(x,y)\to(\dfrac{2}{3}x,\dfrac{2}{3}y)$

Here, M'V'E'D'R' is image and MVEDR is original figure. The scale factor is

$k=\dfrac{2}{3}$

Pentagon M'V'E'D'R' is smaller than pentagon MVEDR because the scale factor is less than 1.

Therefore, the correct option is B.