Question

If ST has endpoints S(-6,1) and T (-6,-1), then the midpoint M of ST lies on the line (x)-axis.

A. True
B. False

Answer 1

False. The midpoint lies on the x-axis.

Step-by-step explanation:

False. In order for the midpoint of ST to lie on the x-axis, the y-coordinate of the midpoint would have to be 0. To find the midpoint, we can use the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Plugging in the coordinates of S (-6,1) and T (-6,-1) into the formula, we get:

Midpoint = ((-6 + -6)/2, (1 + -1)/2) = (-6, 0)

Since the y-coordinate of the midpoint is 0, it lies on the x-axis, which means the statement is true.