Question

What is the midpoint of AB, with endpoints A (3,2) and B (8,14)?

a. (5.5,8)
b. (2.5,11)
c. (0.5, 3)
d. (2.5,6)

Answer 1

A) ( 5.5 , 8 )

X coordinate: ( 8 + 3 ) / 2 = 11 / 2 = 5.5

Y coordinate: ( 14 + 2 ) / 2 = 16 / 2 = 8

( 5.5 , 8 )

Answer 2

The midpoints of the endpoints A (3,2) and B (8,14) is (5.5 , 8) .

Option (a) is correct .

Explanation:

Formula

`Mid\ points = ((x_(2)+x_(1))/(2), (y_(2)+y_(1))/(2)})`

As given

The endpoints are A (3,2) and B (8,14) .

`x_(1) = 3`

`x_(2) = 8`

`y_(1) = 2`

`y_(2) = 14`

Put all the values in the above formula

`Mid\ points = ((8+3)/(2), (14+2)/(2)})`

`Mid\ points = ((11)/(2), (16)/(2)})`

Midpoints = (5.5 , 8)

Therefore the midpoints of the endpoints A (3,2) and B (8,14) is (5.5 , 8) .

Option (a) is correct .