Answer:
efgh is a parallelogram.
Step-by-step explanation:
In the given rectangle ABCD, the points E, F, G, and H are located on the sides AB, BC, CD, and DA respectively. The information provided states that AE is equal to CG, which are both equal to 1/4 of AB. Similarly, BF is equal to DH, which are both equal to 1/4 of BC.
Based on this information, we can conclude that the opposite sides EF and GH are parallel, as they are formed by connecting points on the same sides AB and CD respectively. Therefore, the figure EFHG is a parallelogram.