Question

are these shapes similar?
g
h
30 yd
38 yd
i
j
o
r
30 yd
30 yd
q
p
yes
no

Explanation:

Step1: Check angle - equality

For two polygons to be similar, their corresponding angles must be equal. Here, the angles of the two quadrilaterals are marked as equal (the arc - marking indicates congruent angles).

Step2: Check side - ratio equality

The ratio of the sides of the first parallelogram: Let's assume the sides are \(a = 38\) yd and \(b = 30\) yd. The ratio of the sides of the second parallelogram (a rhombus since all sides \(s=30\) yd) is \(\frac{30}{30}=1\). The ratio of the sides of the first parallelogram \(\frac{38}{30}=\frac{19}{15}
eq1\)

Answer:

no