Question 1: Find the midpoint of the line segment with endpoints at (2, 4) and (6, 8).

Answer: 4, 6

Question 2: Calculate the midpoint of a segment with endpoints at (-3, 5) and (3, -1).

Answer: 0, 2

Question 3: Determine the midpoint between the points (0, 0) and (8, 12).

Answer: 4, 6

Question 4: What is the midpoint of the segment connecting (5, -2) and (9, 4)?

Answer: 7, 1

Question 5: A line segment has endpoints at (x1, y1) and (x2, y2). Write the formula for the midpoint of this segment.

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

Question 6: Find the midpoint of the segment with endpoints at (-1, 3) and (7, -5).

Answer: 3, -1

Question 7: A point P is the midpoint between points A(2, 8) and B(10, 0). Find the coordinates of P.

Answer: 6, 4

Question 8: Construct a line segment with endpoints at (1, 2) and (5, 10). Plot its midpoint.

Answer: 3, 6

Question 9: A segment has endpoints at (x1, y1) and (x2, y2). If the midpoint is at (k, m), write an equation relating these points.

Answer: x1 + x2 = 2k, y1 + y2 = 2m

Question 10: Given the endpoints (3, 7) and (x, y), and the midpoint (6, 4), find the values of x and y.

Answer: x=9, y=1

Question 11: If the midpoint of a segment is given as (x, y), and one endpoint is at (x1, y1), how do you find the other endpoint?

Answer: Other endpoint = (2x - x1, 2y - y1)

Question 12: Identify the error: A student calculates the midpoint of (2, 3) and (8, 7) as (5, 5). What is wrong?

Answer: Incorrect calculation of averages; should be (5, 5) is correct, but if they got different, mistake was in adding or dividing.