Question

Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.

Answer 1

To graph dilation from the origin(0,0) you just need to multiply the coordinate of each vertice of the rectangle. Since the scale factor is 2, you need to multiply the x and y coordinate by 2. The new coordinate from each vertice would be:
A (-2, 5)  ---> A'= (-4, 10)B (2,5)    ---> B' (4, 10)C (-2, 2)  ---> C' (-4, 4)D (2, 2)   ---> D' (4, 4)

Answer 2

Draw the dilation with a scale factor of 2. Remember that to dilate something in the coordinate plane, multiply each coordinate by the scale factor. Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Dilation with scale factor 2, multiply by 2. (x, y) → (2x,2y)