Question

Pentagon ABCDE is dilated with the origin as the center of dilation to create pentagon A’B’C’D’E’. Which rule best represents the dilation that has been applied to pentagon ABCDE to create pentagon A’B’C’D’E’?

A. (x,y)→(x+2,y+1)
B. (x,y)→(x−2,y−2)
C. (x,y)→(2/3x,2/3y)
D. (x,y)→(1.5x,1.5y)

Answer 1

The rule that best represents the dilation applied to pentagon ABCDE to create pentagon A'B'C'D'E' is (x,y)→(2/3x,2/3y). In a dilation, each coordinate of a point is multiplied by a scale factor. In this case, the scale factor is 2/3.

Step-by-step explanation:

The rule that best represents the dilation applied to pentagon ABCDE to create pentagon A'B'C'D'E' is C. (x,y)→(2/3x,2/3y).

In a dilation, each coordinate of a point is multiplied by a scale factor. In this case, the scale factor is 2/3, which means that the x-coordinate and y-coordinate of each point in pentagon ABCDE is multiplied by 2/3 to obtain the corresponding point in pentagon A'B'C'D'E'.

For example, if the coordinates of point A are (1, 2), then the coordinates of point A' would be (2/3, 4/3).