Question

are these shapes similar? yes no

Explanation:

Step1: Recall similarity condition

For two polygons to be similar, their corresponding angles must be equal and corresponding sides must be in proportion.

Step2: Check side - length ratios

For quadrilateral \(ABCD\) and \(JKLM\), consider the ratios of corresponding sides. Let's assume a correspondence (for example, \(AB\) corresponds to \(JK\), \(BC\) corresponds to \(KL\), \(CD\) corresponds to \(LM\), \(DA\) corresponds to \(MJ\)). Calculate the ratios: \(\frac{AB}{JK}=\frac{27}{27} = 1\), \(\frac{BC}{KL}=\frac{20}{35}=\frac{4}{7}\), \(\frac{CD}{LM}=\frac{27}{27} = 1\), \(\frac{DA}{MJ}=\frac{42}{13}\). Since \(\frac{20}{35}
eq1\) and \(\frac{42}{13}
eq1\), the side - length ratios are not equal for all corresponding sides.

Answer:

no