Question

are these shapes similar? are these shapes similar?

Explanation:

Step1: Check ratio of corresponding sides

For side $KL = 50$ ft and $VU=40$ ft, side $LM = 45$ ft and $UT = 40$ ft, side $MK = 50$ ft and $TV = 36$ ft. Calculate the ratios: $\frac{KL}{VU}=\frac{50}{40}=\frac{5}{4}$, $\frac{LM}{UT}=\frac{45}{40}=\frac{9}{8}$, $\frac{MK}{TV}=\frac{50}{36}=\frac{25}{18}$. Since $\frac{5}{4}
eq\frac{9}{8}
eq\frac{25}{18}$, the ratios of corresponding - sides are not equal.

Step2: Recall similarity criteria

Two polygons are similar if their corresponding angles are equal and corresponding - sides are in proportion. Since the corresponding sides are not in proportion, the shapes are not similar.

Answer:

no