HELP ASAPWhat are the coordinates of the vertices of the triangle after a dilation by a scale factor of 14, centered at the origin?U → U'V → V'W → W'
Accepted Solution
A:
Answer: U' = (-1,2) V' = (2,2) W' = (0,-2)
Explanation: The given dilation factor is 1/4 This means that each coordinate point is multiplied by 1/4 to get its dilated image.
For point U: Point U = (-4,8) x coordinate of U' = 1/4 * x coordinate of U x coordinate of U' = 1/4 * -4 = -1 y coordinate of U' = 1/4 * y coordinate of U y coordinate of U' = 1/4 * 8 = 2 This means that: U' = (-1,2)
For point V: Point V = (8,8) x coordinate of V' = 1/4 * x coordinate of V x coordinate of V' = 1/4 * 8 = 2 y coordinate of V' = 1/4 * y coordinate of V y coordinate of V' = 1/4 * 8 = 2 This means that: V' = (2,2)
For point W: Point W = (0,-8) x coordinate of W' = 1/4 * x coordinate of W x coordinate of W' = 1/4 * 0 = 0 y coordinate of W' = 1/4 * y coordinate of W y coordinate of W' = 1/4 * -8 = -2 This means that: W' = (0,-2)