Question 1: Calculate the midpoint of the line segment with endpoints A(2, 4) and B(8, 10).

Answer: 5, 7

Question 2: Find the coordinates of the midpoint between P(−3, 5) and Q(7, −1).

Answer: 2, 2

Question 3: What is the midpoint of the segment with endpoints (−6, 2) and (4, 8)?

Answer: -1, 5

Question 4: Construct a line segment with endpoints at (1, 3) and (7, 9). Mark the midpoint on your diagram.

Answer: 4, 6

Question 5: Determine the midpoint of the segment connecting (−2, −4) and (10, 6). Show your working.

Answer: 4, 1

Question 6: A line segment has endpoints at (3, −2) and (11, 4). Find its midpoint.

Answer: 7, 1

Question 7: A boat crosses from point M(−5, 2) to point N(3, 10). Calculate the midpoint of its path.

Answer: −1, 6

Question 8: The endpoints of a line segment are (−1, 4) and (3, −2). Find the midpoint and explain your steps.

Answer: 1, 1

Question 9: Challenge: The endpoints of a segment are at (x, y) and (6, 10). The midpoint is at (4, 6). Find the coordinates of the other endpoint.

Answer: 2, 2

Question 10: Identify and correct the mistake in this student calculation: Midpoint of (2, 3) and (8, 7) is (5, 11).

Answer: Incorrect y-coordinate; correct midpoint is (5, 5).

Question 11: A real-world scenario: Two cities are located at (10, 20) and (30, 40). Find the midpoint location between them to determine a suitable meeting point.

Answer: 20, 30