Answer:
Step-by-step explanation:
Length of a segment between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Coordinates of extreme ends of BC and EF are,
B(1, 4), C(3, -2), E(-3, -2) and F(-1, 1)
Length of BC = [tex]\sqrt{(1-3)^2+(4+2)^2}[/tex]
= [tex]\sqrt{4+36}[/tex]
= [tex]2\sqrt{10}[/tex] ≈ 6.32 units
Length of EF = [tex]\sqrt{(-3+1)^2+(-2-1)^2}[/tex]
= [tex]\sqrt{4+9}[/tex]
= [tex]\sqrt{13}[/tex] ≈ 3.61 units
The length of BC is 6.32. The length of EF is 3.61.So, BC and EF don't have the same length.
