Question

Question 1 of 10

What is the midpoint of the segment shown below?
O A. (6,3)
O B. (6,5)
O C. (3,5)
OD. (3, 3)

Answer 1

• (-1,2) and (7,3)

Midpoint

• (-1+7/2,2+3/2
• (6/2,5/2)
• 3,5/2)

Answer 2

`\textsf{C.} \quad \left(3,(5)/(2)\right)`

Explanation:

Midpoint between two points

`\textsf{Midpoint}=\left((x_2+x_1)/(2),(y_2+y_1)/(2)\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)`

Define the endpoints of the line segment:

`\textsf{Let }(x_1,y_1)=(-1,2)`

`\textsf{Let }(x_2,y_2)=(7,3)`

Substitute the defined endpoints into the midpoint formula and solve:

`\implies \textsf{Midpoint}=\left((7+(-1))/(2),(3+2)/(2)\right)`

`\implies \textsf{Midpoint}=\left(3,(5)/(2)\right)`