Answer:
The trapezoids and the rectangles are similar
Step-by-step explanation:
we know that
If two figures are similar
then
The ratio of their corresponding sides is equal
We will proceed to verify each case
case A) Right triangles
[tex]\frac{18}{8}=\frac{24}{15}[/tex]
[tex]2.25=1.6[/tex] ------> is not true
therefore
the right triangles are not similar
case B) Isosceles triangle and equilateral triangle
Are not similar, because the first is an isosceles triangle and the second is an equilateral triangle
case C) Trapezoids
[tex]\frac{7.5}{3}=\frac{12.5}{5}=\frac{20}{8}=\frac{30}{12}[/tex]
[tex]2.5=2.5=2.5=2.5[/tex] ------> is true
therefore
the trapezoid figures are similar
case D) Rectangles
[tex]\frac{22}{13.75}=\frac{16}{10}[/tex]
[tex]1.6=1.6[/tex] ------> is true
therefore
the rectangles are similar
