Question 1: Calculate the midpoint of the line segment with endpoints at (2, 4) and (6, 10).

Answer: 4, 7

Question 2: Find the midpoint of a line segment connecting points (-3, 5) and (3, -1).

Answer: 0, 2

Question 3: Determine the midpoint between (0, 0) and (8, 4).

Answer: 4, 2

Question 4: A boat crosses a river from point A at (1, 2) to point B at (5, 6). What is the midpoint of its path?

Answer: 3, 4

Question 5: Calculate the midpoint of the segment with endpoints at (-4, -2) and (2, 6).

Answer: -1, 2

Question 6: A cyclist travels from (3, 7) to (9, 1). Find the midpoint of their journey.

Answer: 6, 4

Question 7: In a city, a park is located at (10, 5) and a library at (20, 15). What are the coordinates of the midpoint between them?

Answer: 15, 10

Question 8: A survey team finds that two points on a property boundary are at (4, -3) and (8, 1). What's the midpoint?

Answer: 6, -1

Question 9: A delivery drone travels from (0, 0) to (12, 8). Calculate the midpoint of its route.

Answer: 6, 4

Question 10: Construct a line segment with endpoints at (1, 2) and (7, 10). Using the grid, find and mark the midpoint.

Answer: 4, 6

Question 11: A triangle has vertices at (2, 3), (4, 7), and (6, 3). Find the midpoints of the sides between (2, 3) & (4, 7) and (4, 7) & (6, 3).

Answer: 3, 5; 5, 5

Question 12: A car starts at point (5, 5) and ends at point (15, 15). What's the midpoint of its journey? Show your calculation.

Answer: 10, 10

Question 13: Error analysis: A student calculates the midpoint between (2, 4) and (6, 10) as (4, 6). Identify the mistake and correct it.

Answer: The student incorrectly added the y-values as 4 + 10 = 14, then divided by 2 to get 7, which is correct. But the mistake is in the x-values: (2 + 6)/2 = 4, which is correct. The answer (4, 7) is correct, so no mistake. If they got a wrong answer, it might be adding incorrectly; the correction is to use the midpoint formula: (x₁ + x₂)/2 and (y₁ + y₂)/2.