Question

Triangle ABC has vertices A (1,5) B (9,7)and C (7,3). M is the midpoint of AB and N is the midpoint of BC. Which of the following is the length of MN?
A. 3
B. 4
C. 5
D. 6

Answer 1

First: Use the midpoint formula to find M and N. \(\huge (\frac{ x_2+x_1}{ 2 },\frac{ y_2+y_1 }{ 2 })\)

Answer 2

M is the midpoint of A and B,
and A (1, 5) & B (9, 7).
x1 y1 x2 y2

Answer 3

N is the midpoint of B and C,
and A (9, 7) & B (7, 3).
x1 y1 x2 y2

Answer 4

Once you found the points of M and N, use the distance formula to find the length of MN.

DISTANCE FORMULA:
\[\huge \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}\]