Question

are these shapes similar?
(left square: vertices j, i, h, g; ji = 27 cm, ih = 27 cm, all angles right angles)
(right quadrilateral: vertices s, v, u, t; sv = 32 cm, vu = 27 cm, all angles right angles)
options: yes, no

Explanation:

Step1: Check the angles

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

Step2: Check the side - length ratios

For the first shape (a square), all sides are \(27\) cm. For the second shape, the sides are \(32\) cm and \(27\) cm.
The ratio of the first pair of corresponding sides: \(\frac{27}{32}\)
The ratio of the second pair of corresponding sides: \(\frac{27}{27} = 1\)
Since \(\frac{27}{32}
eq1\), the side - length ratios are not equal.

Answer:

no