The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?A) (x, y) → (3x, 3y) B) (x, y) → (x + 3, y +3) C) (x, y) → (x - 3, y - 3) D) (x, y) → (1/3x , 1/3 y)
Accepted Solution
A:
Answer:D) (x, y) → (1/3x , 1/3 y)Step-by-step explanation:A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.Answers B and C show a translation/movement of the shape, not a dilation.