Question

are these shapes similar? yes no

Explanation:

Step1: Check ratio of corresponding sides

For rectangles, we compare the ratios of length - to - width. For rectangle $DEFG$, the ratio of length to width is $\frac{40}{25}=\frac{8}{5}$. For rectangle $VWUX$, the ratio of length to width is $\frac{48}{30}=\frac{8}{5}$.

Step2: Check angles

All angles in both rectangles are right - angles (90 degrees). Since the ratios of corresponding sides are equal and all corresponding angles are equal (all 90 degrees), the shapes are similar.

Answer:

yes