Question

problem 4 a. select all quadrilaterals that are scaled copies of the unlabeled rectangle. explain how you know. shape a shape b shape c shape d shape e shape f shape g shape h

Explanation:

Step1: Recall properties of scaled - copies

Scaled copies have proportional side - lengths and the same shape.

Step2: Analyze each shape

For a rectangle, scaled copies will have the same ratio of length to width. Assume the unlabeled rectangle has length \(l\) and width \(w\).
Shape A is a parallelogram, not a rectangle, so it is not a scaled copy.
Shape B: If we count the grid - squares for length and width, and compare the ratio to the unlabeled rectangle, we find it has proportional side - lengths.
Shape C: By comparing the length and width ratios with the unlabeled rectangle using the grid - squares, we see it has proportional side - lengths.
Shape D: Comparing side - length ratios, it has proportional side - lengths.
Shape E: Comparing side - length ratios, it has proportional side - lengths.
Shape F is a parallelogram, not a rectangle, so it is not a scaled copy.
Shape G: By comparing the length and width ratios with the unlabeled rectangle using the grid - squares, we see it has proportional side - lengths.
Shape H: Comparing side - length ratios, it has proportional side - lengths.

Answer:

Shape B, Shape C, Shape D, Shape E, Shape G, Shape H