Question

are these shapes similar? yes no

Explanation:

Step1: Check the ratios of corresponding sides

For the first quadrilateral \(KLMN\) with sides \(23\), \(27\), \(42\), \(27\) and the second quadrilateral \(STUR\) with sides \(42\), \(19\), \(28\), \(19\).
The ratios of the sides:
\(\frac{23}{42}\approx0.55\), \(\frac{27}{19}\approx1.42\), \(\frac{42}{28} = 1.5\), \(\frac{27}{19}\approx1.42\)

Step2: Determine similarity

Since the ratios of the corresponding sides are not equal (\(0.55
eq1.42
eq1.5\)), the shapes do not satisfy the side - ratio condition for similarity.

Answer:

no