Question

In the dilation of a baseball field described by the algebraic expressions (2/3x, 2/3y), which point does NOT correctly reflect the dilation?

A) (6, 4)
B) (9, 6)
C) (12, 9)
D) (3, 2)

Answer 1

The algebraic expressions for the dilation are substituted with each coordinate to determine which point does not reflect the dilation.

Step-by-step explanation:

The given algebraic expressions for the dilation are (2/3x, 2/3y). To determine which point does NOT correctly reflect the dilation, we need to substitute the x and y values of each point into the expressions and check if they match the coordinates of the dilated point.

Let's start by substituting the coordinates (6, 4):

(2/3 * 6, 2/3 * 4) = (4, 8/3)

Since the resulting coordinates do not match the dilated point, we can conclude that point A) (6, 4) does NOT correctly reflect the dilation.