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

 Yes, the two figures are congruent.

Step-by-step explanation:

the two figures use the transformations reflection and translation.

Translation means that the figure moves without flipping or changing.

Reflection means to reflect the figure so mirror image.

Using this information you can explain that the two figures are congruent because figure DCBA is reflected across the y axis and is then translated down one unit.

Hope this helps you! sorry if its incorrect I'm taking geometry in 8th grade.

They are congruent by using the transformations reflection and translation.

Step-by-step explanation:

The two figures above are congruent. Parallelogram ABCD is a reflection and translation of Parallelogram EFGH.

Reflection over the Y-axis rule— (x, y)→ (-x, y):

A—(-1,1)→(1,1)

B—(-3,2)→(3,2)

C—(-4,4)→(4,4)

D—(-2,6)→2,6)

Translation rule— (x, y)→(x+1, y-1):

A—(1,1)→(2,0)

B—(3,2)→(4,1)

C—(4,4)→(5,3)

D—(2,6)→(3,5)

These transformations didn't change the size or shape of the pre-image, it is only there place on the graph that changes, indicating that Parallelogram ABCD and EFGH are congruent. 

Hope this helps!

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step-by-step explanation: