given quadrilateral DEFG with vertices D(2,1) E (1,2) F(2,3) and G(3,2)

Answer:
Step-by-step explanation:
Given: D(2,1) E (1,2) F(2,3) and G(3,2)
a. Dilate by a scale factor of 2 so we have to multiply all the coordinates by 2
(x, y) becomes (2x, 2y)
D'(4,2); E' (2,4); F' (4,6); G' (6,4)
b. Translate 5 units left, and 3 units down so (x, y) will become (x-5, y-3)
D''(-1,-1); E'' (-3,1); F'' (-1,3); G'' (1,1)
c. Reflect across y-axis so (x, y) becomes (-x, y)
D'''(1,-1); E''' (3,1); F''' (1,3); G''' (-1,1)
d. Rotate 180° about the origin so (x, y) becomes (-x, -y)
D'''(-1,1); E''' (-3,-1); F''' (-1,-3); G''' (1,-1)