Question

are these shapes similar? are these shapes similar?

Explanation:

Step1: Recall similarity criteria

For two polygons to be similar, their corresponding angles must be equal and the ratios of their corresponding side - lengths must be equal.

Step2: Analyze angles

Both shapes are quadrilaterals with four right - angles. So, the corresponding angles are equal.

Step3: Analyze side - length ratios

For the first square \(PQRO\), all side - lengths are \(21\) cm. For the second quadrilateral \(VWXY\), two adjacent side - lengths are \(21\) cm and \(20\) cm. The ratio of the side - lengths of the two shapes is not the same for all corresponding sides. For example, if we consider the side of length \(21\) cm in the first shape and the side of length \(20\) cm in the second shape, the ratio is \(\frac{21}{20}
eq1\) and since the first shape is a square and the second is not (sides are not all equal), the side - length ratios are not consistent.

Answer:

no