Question

Determine whether the given segments have the same length. Drag and drop each number

Answer 1

Answer:

Step-by-step explanation:

Length of a segment between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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 = $\sqrt{(1-3)^2+(4+2)^2}$

                      = $\sqrt{4+36}$

                      = $2\sqrt{10}$ ≈ 6.32 units

Length of EF = $\sqrt{(-3+1)^2+(-2-1)^2}$

                     = $\sqrt{4+9}$

                     = $\sqrt{13}$ ≈ 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.