Verified Answer :

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:

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

Option (a) is correct .

Step-by-step explanation:

Formula

\(Mid\ points = (\frac{x_{2}+x_{1}}{2}, \frac{y_{2}+y_{1}}{2}})\)

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

\(Mid\ points = (\frac{8+3}{2}, \frac{14+2}{2}})\)

\(Mid\ points = (\frac{11}{2}, \frac{16}{2}})\)

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 .