Question

Each set of points are connected to form a line segment. What is the length of each?

A = (3,5) and B = (3,6)

C = (-2,-3) and D = (-2,-6)

E = (-3,1) and F = (-3,-1)

Answer 1

Length AB = 1

Length CD = 3

Length EF = 2

Explanation:

To get the length of each line segments we will use the formula for finding the distance between two points as shown:

D = √(x2-x1)²+(y2-y1)²

For line segment A = (3,5) and B = (3,6)

x1 = 3, y1 = 5, x2 = 3, y2 = 6

AB = √(3-3)²+(6-5)²

AB = √0+1²

AB = √1

AB = 1

For line segment C = (-2,-3) and D = (-2,-6)

CD =√(-2-(-2))²+(-6-(-3))²

CD = √0²+(-3)²

CD = √9

CD = 3

For line segment E = (-3,1) and F = (-3,-1)

EF = √(-3-(-3))²+(-1-1)²

EF = √0²+(-2)²

EF = √4

EF = 2