Determine if the two figures are congruent and explain your answer using transformations.

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Step-by-step explanation:

From the given figure it is clear that,

Vertices of ABCD are A(-1,1), B(-3,2), C(-4,4) and D(0,5).

Vertices of EFGH are E(1,1), F(3,0), G(4,-2) and H(0,-3).

If ABCD reflect across the line y=1, then

After that A'B'C'D' reflect across y-axis, then rule of reflection is

The vertices of figure A'B'C'D' after reflection are E(1,1), F(3,0), G(4,-2) and H(0,-3).

Reflection is a rigid transformation, it means the size of figure remains same after the reflection.

Figure ABCD reflected across the line y=1 followed by reflection across y-axis to get the figure EFGH. It means corresponding sides of figure are equal and figures are congruent.

Therefore, .