Question

The point midway between (a, b) and (c, d) is (x, y):

A) Average
B) Median
C) Mean
D) Mode

Answer 1

The midpoint between (a, b) and (c, d) is determined by calculating the average of the x-coordinates and the y-coordinates. The correct answer is A) Average, as it represents the mean value for each coordinate.

Step-by-step explanation:

The point midway between two points (a, b) and (c, d) is found by calculating the average of the x-coordinates and the y-coordinates separately. The x-coordinate of the midpoint is the average of a and c, while the y-coordinate is the average of b and d. Therefore, the midpoint (x, y) is given by:

x = (a + c) / 2
y = (b + d) / 2

Based on the given options, the correct answer is A) Average. The term 'average' refers to the mean value of a set of numbers, and that is exactly how the midpoint's coordinates are determined in this context.