Question

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

Answer 1

Answer:

Step-by-step explanation:

By observation we see that the sides:

DC = HG

CB = GF

BA = FE and DA = HE so the 2 figures are congruent.

If we reflect EFGH in the y-axis we see that the point F (4, 1( moves to (-4,1)

and the point E moves from (2, 0) o (-2, 0) and the other 2 points points move in a similar fashion.

If we then  move the whole figure up 1 unit then 1 to the right EFGH completely occupies the same area as ABCD confirming they are congruent.