Question

The table shows the coordinates of the vertices of pentagon ABCDE. X. Y. negative one. one. one. six. four. one. two. negative five. negative six. negative two. Pentagon ABCDE is dilated by a scale factor of with the origin as the center of dilation to create pentagon A′B′C′D′E′. If (x, y) represents the location of any point on pentagon ABCDE, which ordered pair represents the location of the corresponding point on pentagon A′B′C′D′E′? seven over three, X. seven over three, Y. X plus seven over three. Y plus seven over three three over seven, X. three over seven, Y. X plus three over seven. Y plus three over seven.

Answer 1

The ordered pair that represents the location of the corresponding point on pentagon A′B′C′D′E′ is

(- 7/3, 7/3)

How to find the ordered pair

To complete a dilation of dilation factor 7/3, we use the rule stated below

(x, y) becomes (kx, ky)

Where k is the dilation or scale factor

Applying this to coordinates of A we have

(-1, 1) becomes (-7/3, 7/3)