Question

Is Point M the midpoint of AB? Select Yes or No for each statement.

Answer 1

Answer:

A). Yes

B). Yes

C). No

D). Yes

Step-by-step explanation:

Coordinates of the midpoint of a segment joining two points $(x_1, y_1)$ and $(x_2,y_2)$ are given by $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$.

A). If the points are A(1, 2) and B(3, 4)

    Coordinates of the midpoint M → $(\frac{1+3}{2},\frac{2+4}{2})$

    M → (2, 3)

    Yes.

B). Extreme points of segment AB are A(0, 8) and B(10, -1)

    Coordinates of the midpoint will be,

    M → $(\frac{0+10}{2}, \frac{8-1}{2})$

    M → (5, 3.5)

    Yes

C). Extreme points of segment AB are A(-7, -5) and B(6, 4)

    Coordinates of the midpoint will be,

     M → $(\frac{-7+6}{2}, \frac{-5+4}{2})$

     M → (-0.5, -0.5)

     NO

D). Extreme points of segment AB are A(4, -2) and B(6, -8)

     Coordinates of the midpoint will be,

     M → $(\frac{4+6}{2}, \frac{-2-8}{2})$

     M → (5, -5)

     Yes