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)

Question

asked Jan 15, 2021 53.9k views

2 Answers

Henry Cyranka · Answer 1 · 2021-01-21T20:05:40+0000

Answer:

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.