Question

Hexagon QRSTUV shown below is dilated with the origin as the center of dilation to create hexagon Q'R'S'T'U'V. Which of the following statements describes this transformation?

Answer 1

Answer:

D. The x and y coordinates of every point on the figure are multiplied by 3/2

Explanations:

Step 1: Let us find the coordinates of points Q, R, S, T, U, and V

Q (-6, -6), R(-6, 6), S(0, 4), T(6, 6), U(6, -6), V(0, -4)

Step 2: Let us find the coordinates of points Q', R', S', T', U' and V'

Q'(-9, -9), R'(-9, 9), S'(0, 6), T'(9, 9), U'(9, -9), V'(0, -6)

Step 3: Find the relationship between the points of QRSTUV, and Q'R'S'T'U'V'

We would observe that if we multiply the coordinates of every point on QRSTUV by 3/2, we will get the equivalenty of the coordinates of that point in Q'R'S'T'U'V'

Therefore, the x and y coordinates of every point on the figure are multiplied by 3/2