Question

are these shapes similar? no yes

Explanation:

Step1: Check the side - length ratios

For triangle \(DCE\), all sides are \(45\) mm. For triangle \(NLM\), sides are \(45\) mm, \(45\) mm, and \(43\) mm. The ratio of corresponding sides: \(\frac{45}{45} = 1\) for two sides, but \(\frac{45}{43}
eq1\).

Step2: Use the similarity criterion (SSS similarity)

Two triangles are similar by SSS (Side - Side - Side) similarity if \(\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\). Since the side - length ratios are not equal for all three pairs of corresponding sides.

Answer:

no