A rectangle has vertices -5,6 -1,6 -1,3 -5,3 and . It is first dilated by the rule and then translated units down. What are the coordinates of the image?
The dilation scale factor is 2 and the translation is 4 units down.
First, dilate the rectangle by a scale factor of 2:
-5,6 -> -5*2, 6*2 = -10,12
-1,6 -> -1*2, 6*2 = -2,12
-1,3 -> -1*2, 3*2 = -2,6
-5,3 -> -5*2, 3*2 = -10,6
Next, translate the dilated rectangle 4 units down:
-10,12 -> -10,12 - 0,4 = -10,8
-2,12 -> -2,12 - 0,4 = -2,8
-2,6 -> -2,6 - 0,4 = -2,2
-10,6 -> -10,6 - 0,4 = -10,2
Therefore, the coordinates of the image after dilating and translating the rectangle are:
-10,8
-2,8
-2,2
-10,2