Determine the midpoint of the line segment between the pair of points.
-$( 9 \sqrt { 5 } , 6 \sqrt { 5 } ) \text { and } ( 14 \sqrt { 5 } , 11 \sqrt { 5 } )$
A) $\left( \frac { 5 \sqrt { 5 } } { 2 } , \frac { 5 \sqrt { 5 } } { 2 } \right)$
B) $( 23 \sqrt { 5 } , 17 \sqrt { 5 } )$
C) $\left( \frac { - 5 \sqrt { 5 } } { 2 } , \frac { - 5 \sqrt { 5 } } { 2 } \right)$
D) $\left( \frac { 23 \sqrt { 5 } } { 2 } , \frac { 17 \sqrt { 5 } } { 2 } \right)$

Question

Quizplus · Accepted Answer

The midpoint of a line segment is found by averaging the x-coordinates and the y-coordinates of the endpoints. For the given points $(9\sqrt{5}, 6\sqrt{5})$ and $(14\sqrt{5}, 11\sqrt{5})$, the midpoint is $\left(\frac{9\sqrt{5} + 14\sqrt{5}}{2}, \frac{6\sqrt{5} + 11\sqrt{5}}{2}\right) = \left(\frac{23\sqrt{5}}{2}, \frac{17\sqrt{5}}{2}\right)$.

Determine the Midpoint of the Line Segment Between the Pair (95,65) and (145,115)( 9 \sqrt { 5 } , 6 \sqrt { 5 } ) \text { and } ( 14 \sqrt { 5 } , 11 \sqrt { 5 } )(95​,65​) and (145​,115​)

Determine the Midpoint of the Line Segment Between the Pair $( 9 \sqrt { 5 } , 6 \sqrt { 5 } ) \text { and } ( 14 \sqrt { 5 } , 11 \sqrt { 5 } )$