Use the distance formula to determine whether each pair of segments have the same length cd and ef

The distance formula is written below:

d = √(x₂ - x₁)² + (y₂ - y₁)²

The coordinates of points 1 and 2 are (x₁,y₁) and (x₂,y₂), respectively.

The length of line segment CD is:
C(-2,5) & D(-1,1)
d = √(⁻1 - ⁻2)² + (1 - 5)² = √17

The length of line segment EF is:
E(-4,-3) & F(-1,-1)
d = √(⁻1 - ⁻4)² + (⁻1 - ⁻3)² = √13

Thus, lines CD and EF are not equal.

The length of line segment GH is:
G(0,2) & H(4,4)
d = √(4 - 0)² + (4 - 2)² = 2√5

The length of line segment JK is:
J(2,-1) & K(3,-5)
d = √(3 - 2)² + (⁻5 - ⁻1)² = √17

Therefore, line segments GH and JK are not equal. However, we can see that line segments JK and CD are equal.