Question

The endpoints of CD are C(6, 1) and D(-4, -1). Find the midpoint M of CD.

A) M(10, 2)
B) M-10, -2)
C) M(2,0)
D) M(1, 0)

Answer 1

The midpoint M of the line segment CD with endpoints C(6, 1) and D(-4, -1) is calculated using the midpoint formula, resulting in M(1, 0), which corresponds to answer option D.

Step-by-step explanation:

To find the midpoint M of the line segment CD with endpoints C(6, 1) and D(-4, -1), we use the midpoint formula. This formula is ( (x1+x2)/2 , (y1+y2)/2 ), where (x1, y1) and (x2, y2) are the coordinates of the two endpoints.

The calculations for the midpoint coordinates are as follows:

• For the x-coordinate: (6 + (-4))/2 = 2/2 = 1
• For the y-coordinate: (1 + (-1))/2 = 0/2 = 0

Therefore, the coordinates of the midpoint M are (1, 0). The correct answer from the options provided is D) M(1, 0).