Question

Using the midpoint and the distance formulas, calculate he coordinate of the midpoint and the length of the segment.

Length of the segment CD: _________ Coordinates of Midpoint.

A. 8
B. (3.5, 3)
C. (3, 2)
D. 2
E. /5

Answer 1

Step-by-step explanation:

Formula to calculate the distance between two points
`(x_1,y_1)` and
`(x_2,y_2)` is,

d =
`√((x_2-x_1)^2+(y_2-y_1)^2)`

Therefore, length of CD having coordinates C(3,1) and D(3, 3),

CD =
`√((3-3)^2+(1-3)^2)`

= 2 units

Formula to find the midpoint of CD is,

M =
`((x_1+x_2)/(2),(y_1+y_2)/(2))`

=
`((3+3)/(2),(1+3)/(2))`

= (3, 2)

Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.