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

If you transform the bottom figure over the x-axis and then translate it 4 units to the left or if you transform the top figure over the x-axis and then translate it 4 units to the right, you get the other corresponding figure.

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semsee45 semsee45 · Answer 2 · 2022-08-25T15:23:33+02:00

Answer:

ABCD → EFGH:

reflection in the x-axis.
translation of 4 units right.

Step-by-step explanation:

If two figures are congruent they are the same shape and the same size.

From inspection of the given diagram:

AB corresponds to EF
BC corresponds to FG
CD corresponds to GH
DA corresponds to HE

All the corresponding sides lengths are the same size.

Therefore, the series of transformations that maps figure ABCD onto figure EFGH is:

reflection in the x-axis.
translation of 4 units right.

Therefore, the two figures are congruent.

Learn more about transformations here:

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