To determine the similarity between the figures based on the statements provided, we need to look for pairs of quadrilaterals that are indicated to be similar.
The two statements indicating similarity between quadrilaterals are:
- quadrilateral ABCD ~ quadrilateral EFGH
- quadrilateral DCBA ~ quadrilateral HGFE
Both of these statements suggest that quadrilateral ABCD is similar to EFGH and quadrilateral DCBA is similar to HGFE.
However, typically, if one quadrilateral is similar to another, the reverse must also hold true, meaning that if ABCD is similar to EFGH, then EFGH is similar to ABCD as well. The same goes for DCBA and HGFE.
From the given options, the statements that clearly show similarity and are the correct representations of similarity would be:
- quadrilateral ABCD ~ quadrilateral EFGH
- quadrilateral DCBA ~ quadrilateral HGFE
However, since your question looks for the similarity in a singular statement, if we are limited to choosing only one, "quadrilateral ABCD ~ quadrilateral EFGH" would likely be the most appropriate as it compares two standard representations (not the reversed letters).
Please confirm the correct choice based on your context or options given to ensure relevance!