A(2,2 and b 2,-4 d -3-1) and b 2,-1 m -1,4 and n-1 -2) p(-5-3) and q(2,-3) the end points of for segments which segment has the greatest length

Answer 1

To determine which segment has the greatest length, we need to calculate the lengths of each segment using the distance formula:

The distance formula is:
sqrt((x2 - x1)^2 + (y2 - y1)^2)

For segment AB:
A(2,2) and B(2,-4)
Length = sqrt((2-2)^2 + (-4-2)^2) = sqrt(0 + 36) = sqrt(36) = 6

For segment MN:
M(2,-1) and N(-1,-2)
Length = sqrt((2-(-1))^2 + (-1-(-2))^2) = sqrt(3^2 + 1^2) = sqrt(9 + 1) = sqrt(10)

For segment PQ:
P(-5,-3) and Q(2,-3)
Length = sqrt((-5-2)^2 + (-3-(-3))^2) = sqrt((-7)^2 + 0^2) = sqrt(49) = 7

Therefore, segment PQ has the greatest length with a length of 7 units.