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

Answer: Midpoint: (4, 6)

Question 2: Calculate the midpoint between points (-3, 7) and (5, -1).

Answer: Midpoint: (1, 3)

Question 3: Determine the midpoint of the segment connecting (0, 0) and (8, 14).

Answer: Midpoint: (4, 7)

Question 4: Construct a line segment with endpoints at (3, 2) and (7, 10). What is the midpoint?

Answer: Midpoint: (5, 6)

Question 5: A segment has endpoints at (x, 3) and (7, y). If the midpoint is (4, 5), find the values of x and y.

Answer: x=1, y=7

Question 6: The endpoints of a segment are at (1, 2) and (x, y). The midpoint is at (4, 5). Find the values of x and y.

Answer: x=7, y=8

Question 7: A line segment has endpoints at (-2, 5) and (x, y). Its midpoint is at (1, 3). Find x and y.

Answer: x=4, y=1

Question 8: Plot the points (1, 2) and (5, 6) on the grid and connect them. Find the midpoint and label it on the diagram.

Answer: Midpoint: (3, 4)

Question 9: A farmer plots two points representing the ends of a fence line at (x, 2) and (6, y). The midpoint of the fence is at (4, 5). Find the coordinates of the endpoints.

Answer: x=2, y=8

Question 10: Identify and correct the mistake in this student's calculation: They found the midpoint between (2, 3) and (4, 7) as (3, 5).

Answer: Correct midpoint: (3, 5); Student's answer is correct, but check calculations for accuracy.

Question 11: Challenge: Given endpoints at (x, y) and (10, 14), the midpoint is at (7, 9). Find possible values of x and y.

Answer: x=4, y=4