Mathematics: Determine whether the given segments have the same length. Drag and drop each number into the correct box to complete the justification of your answer. BC and EF

Determine whether the given segments have the same

larahanna

02.02.2022

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.

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