Question

Pentagon ABCDE is dilated according to the rule

DO,3(x,y) to create the image pentagon A'B'C'D'E', which is shown on the graph.

On a coordinate plane, pentagon A prime B prime C prime D prime E prime has points (negative 3, 6), (negative 0.5, 8), (2, 6), (1, 3), and (negative 2, 3).

What are the coordinates of point A of the pre-image?

(-1, 1)
(-1, 2)
(-9, 6)
(-9, 18)

Answer 1

-1,2

Explanation:

Correct on Edge 2020

Answer 2

The coordinates of point A are (-1, 2).

Explanation:

The factor of dilation is 3, which means each coordinate of the figure A'B'C'D'E' is three times bigger than the original coordinates.

That is:
`(x,y) \implies (3x,3y)`

So, if
`A'(-3,6)`, then its original coordinate is
`A(-1,2)`.

Because -1(3) = -3 and 2(3) = 6.

Therefore, the right answer is the second choice, (-1, 2).