Question

What series of transformations to quadrilateral ABCD map the quadrilateral onto​ quadrilateral EFGH ​ to prove that ABCD≅EFGH ?

Answer 1

For this case we have the following transformation rule:
 (x, y) --------> (x, - y - 2) ----------> (x ', y')
 We are going to apply the following transformation rule for vertex D, for example.
 We have then:
 (4, 1) --------> (4, - 1 - 2) ----------> (4, -3)
 Therefore, the transformation is:
 Reflection on the x axis and vertical displacement 2 units down.
 Answer:
 a reflection across x-axis, and then a translation 2 units down