Question

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

a reflection across x-axis, and then a translation 2 units up

a reflection across y-axis, and then a translation 2 units down

a reflection across y-axis , and then a translation 2 units up

a reflection across x-axis, and then a translation 2 units down

Answer 1

a reflection across x-axis, and then a translation 2 units down

Explanation:

Answer 2

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