First
a) Scale factor is 1/4
Divide each side by 4.
b)
Area of triangle 1
[tex]\begin{gathered} =\text{ }\frac{Base\text{ x Height }}{2} \\ \text{Base = 16} \\ \text{Height = 12} \\ \text{Area = }\frac{16\text{ x 12}}{2} \\ =\text{ }\frac{192}{2} \\ =\text{ 96} \end{gathered}[/tex]Area of 2
[tex]\begin{gathered} =\text{ }\frac{Base\text{ x Heigth}}{2} \\ \text{Base = 4} \\ \text{Height = 3} \\ \text{Area = }\frac{4\text{ x 3}}{2} \\ =\text{ 6} \end{gathered}[/tex]Ratio of area 1 to area 2 = 96:6
= 16:1
c) Perimeter of a triangle is the sum of the length of the length
Perimeter of ABC = 12 + 20 + 16 = 48
Perimeter of EFG = 3 + 5 + 4 = 12
Ratio of ABC and EFG = 48:12 = 4:1
d) ratio of correcponding side =
12:3 = 4:1
20:5 = 4:1
16:4 = 4:1
