Answer:
A). Yes
B). Yes
C). No
D). Yes
Step-by-step explanation:
Coordinates of the midpoint of a segment joining two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are given by [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex].
A). If the points are A(1, 2) and B(3, 4)
Coordinates of the midpoint M → [tex](\frac{1+3}{2},\frac{2+4}{2})[/tex]
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 → [tex](\frac{0+10}{2}, \frac{8-1}{2})[/tex]
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 → [tex](\frac{-7+6}{2}, \frac{-5+4}{2})[/tex]
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 → [tex](\frac{4+6}{2}, \frac{-2-8}{2})[/tex]
M → (5, -5)
Yes
