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problem 7 part 1: spiral review here is an unlabeled rectangle and seve…

Question

problem 7 part 1: spiral review here is an unlabeled rectangle and several quadrilaterals that are labeled. select all the quadrilaterals that are scaled copies of the unlabeled rectangle.

Explanation:

Step1: Check side - length ratios

For two similar (scaled - copy) rectangles, the ratios of corresponding side lengths must be equal. Let's assume the unlabeled rectangle has side lengths \(a\) and \(b\). For each labeled quadrilateral, find the ratio of its side lengths.

Step2: Analyze non - rectangles

Quadrilateral \(A\) and \(F\) are parallelograms, not rectangles. Since we are looking for scaled copies of a rectangle, they are not valid.

Step3: Compare side - length ratios of rectangles

For rectangle \(B\), if we count the grid squares for the sides of the unlabeled rectangle and \(B\), we can see that the ratio of the longer sides and the ratio of the shorter sides are the same.
For rectangle \(C\), the side - length ratios are different from those of the unlabeled rectangle.
For rectangle \(D\), the side - length ratios are different from those of the unlabeled rectangle.
For rectangle \(E\), the side - length ratios are the same as those of the unlabeled rectangle.
For rectangle \(G\), the side - length ratios are different from those of the unlabeled rectangle.
For rectangle \(H\), the side - length ratios are the same as those of the unlabeled rectangle.

Answer:

B, E, H