Question

Point M is the midpoint of AB. Point A has coordinates (2, 4) and point M has coordinates (5, 0). What is the length of MB?

a) 3 units
b) 5 units
c) 6 units
d) 8 units

Answer 1

To find the length of MB, we used the distance formula on points A and M, which gave us 5 units. Since M is the midpoint of AB, MB is also 5 units in length.

Step-by-step explanation:

The student asked: Point M is the midpoint of AB. Point A has coordinates (2, 4) and point M has coordinates (5, 0). What is the length of MB? Since Point M is the midpoint of AB, AM is equal to MB.

First, calculate the length of AM using the distance formula: which is the square root of [(x2 - x1)^2 + (y2 - y1)^2].

For A(2, 4) and M(5, 0), we have:

√[(5 - 2)^2 + (0 - 4)^2] = √[3^2 + (-4)^2] = √[9 + 16] = √25 = 5 units.

Since M is the midpoint, the length of MB is also 5 units, which corresponds to option (b).