Question

Graph the image of this quadrilateral after a dilation with a scale factor of 3 centered at the origin. Use the polygon tool to graph the quadrilateral.

Answer 1

Answer with explanation:

We know that the dilation transformation of a figure either shrink or expand the original figure depending on the scale factor of the dilation.

As here we have scale factor=3>1.

Hence, the dilation changes the original will expand the original figure.

Hence, each of the coordinate of a figure get multiplied by 3.

Hence, the coordinates of the image are given as:

i.e. A(0,0) → A'(0,0)

B(2,3) → B'(6,9)

C(1,-2) → C'(3,-6)

D(-3,-3) → D'(-9,-9)

Answer 2

see attached

Explanation:

Dilation centered at the origin by a scale factor of 3 multiplies every coordinate by 3.