To determine which statement represents the similarity between the two figures, we need to consider the correspondence of the vertices and the order in which they are labeled in each quadrilateral.
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In statement A, the order of the vertices indicates that quadrilateral ABCD is being compared directly with EFGH. If the figures have corresponding angles that are equal and the lengths of the sides are in proportion, this statement would be true.
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Statement B flips the order of the vertices in ABCD and compares it with GEFH, which may also be a valid statement depending on the orientation of the figures.
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Statement C also reverses the ordering of ABCD to HGFE, a different arrangement that must maintain the properties of similarity.
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Statement D reverses the order, comparing DCBA with HGFE, implying a specific orientation.
To accurately select the correct answer, it's important to visually analyze how the shapes relate to one another, specifically their angles and side lengths. Without the visual aspect to refer to, I recommend choosing the option that most clearly matches the orientation and labeling of the corresponding figures.
If you have the ability to observe the figures yourself, look for these key traits:
- Are the angles congruent?
- Are the sides proportionate?
- Do the vertices correspond correctly based on the order given?
Choose the option that reflects these characteristics. If the figures appear congruent and correctly correlated in the order specified, that statement is your answer.