are these shapes similar?

Explanation:

Step1: Recall similarity condition

Two triangles are similar if their corresponding - sides are in proportion and corresponding angles are equal.

Step2: Check corresponding - side ratios

For (\triangle DEF) and (\triangle NOP), let's check the ratios of corresponding sides. Suppose (DF = 39\mathrm{cm}), (EF = 50\mathrm{cm}), (DE = 56\mathrm{cm}), (NO = 39\mathrm{cm}), (OP = 58\mathrm{cm}), (NP = 53\mathrm{cm}). The ratio of (DF) to (NO) is (\frac{DF}{NO}=\frac{39}{39} = 1). The ratio of (DE) to (NP) is (\frac{DE}{NP}=\frac{56}{53}\neq1). The ratio of (EF) to (OP) is (\frac{EF}{OP}=\frac{50}{58}=\frac{25}{29}\neq1). Since the ratios of the corresponding sides are not equal, the two triangles are not similar.

Answer:

No