Question

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

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

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

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

Answer 1

Answer: 1 3 2

Explanation:

Answer 2

a. 1

b. 3

c.
`√(2)`

Explanation:

To find a distance between two points or the length of the segment, we use the following formula:

`√((x2-x1)^2+(y2-y1)^2)`

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

AB =
`√((x2-x1)^2+(y2-y1)^2)` =
`√((3-3)^2+(6-5)^2) = √(1) =1`

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

CD =
`√((x2-x1)^2+(y2-y1)^2) = √((-2 -(-2))^2+(-6 -(-3))^2) = √(9) = 3`

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

EF =
`√((x2-x1)^2+(y2-y1)^2) = √((-3 -(-3))^2+(-1-1)^2) = √(2)`

Hope it will find you well.