Question

Square RSTU is translated to form RSTU, which has vertices R(-3,2), S(3,2), T(3,-2), and U(-3,-2). Point S has coordinates of (-5, 3). Which point lies on a side of the pre-image square RSTU?

A) (-4, 3)
B) (-3, 3)
C) (-5, 2)
D) (-5, 2)

Answer 1

To find the point on the pre-image square RSTU, we need to find the point on the translated square R'S'T'U' that corresponds to point S(-5, 3). The corresponding point on the pre-image square is (-4, 2).

Step-by-step explanation:

To find the point on the pre-image square RSTU, we need to find the point on the translated square R'S'T'U' that corresponds to point S(-5, 3).

Since the translation involves moving the square horizontally by 6 units and vertically by 1 unit, we can find the corresponding point on R'S'T'U' by adding 6 units to the x-coordinate and subtracting 1 unit from the y-coordinate.

Therefore, the point on the pre-image square RSTU that lies on the same side as point S(-5, 3) is (-4, 2).