Question

a series of transformations maps EFGH onto its imagedetermine the series of transformations involving a reflection translation and dilation that maps EFGH onto its image in your final answer include all of your calculations

Answer 1

From the map,

H"G"F"E" is 3/2 times the size of EFGH.

To make Square EFGH to H"G"F"E", use the following transformations:

a.) Invert EFGH about y=1 so that it's numbering becomes H"G"F"E", in the same order as its image.

b.) Dilate EFGH by 3/2. This will make EFGH of the same area as E"F"G"H". Its center will be at (-4, 1).

c.) Translate EFGH along x (horizontally to the left) by 2 units. This will line up EFGH with E"F"G"H" but it will be 10 units above its image.

d.) Translate EFGH along y (vertically downward) by 10 units. This will map EFGH onto its image E"F"G"H".