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

Answer: 4, 7

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

Answer: 2, 2

Question 3: A line segment has endpoints at (x1, y1) and (x2, y2). If the midpoint is (3, 5), and one endpoint is at (1, 2), find the other endpoint.

Answer: 5, 8

Question 4: Plot the graph of y = 2x for x-values from -3 to 3.

Answer: Students will plot accordingly.

Question 5: Construct a triangle with vertices at (1, 1), (5, 1), and (3, 4). Find the midpoint of the side connecting (1, 1) and (5, 1).

Answer: 3, 1

Question 6: A boat moves from point A (2, 3) to point B (8, 15). Find the midpoint where the boat is halfway.

Answer: 5, 9

Question 7: If the midpoint of a segment is at (0, 0) and one endpoint is at (6, 8), what are the coordinates of the other endpoint?

Answer: -6, -8

Question 8: Determine the midpoint of the segment with endpoints at (-4, -2) and (10, 6).

Answer: 3, 2

Question 9: Explain why the midpoint formula works for finding the center of a line segment.

Answer: Because it calculates the average of the x-coordinates and y-coordinates, which gives the coordinate exactly halfway between the endpoints.

Question 10: A segment has endpoints at (x, y) and (4, 10). The midpoint is at (6, 7). Find the coordinates of (x, y).

Answer: 8, 4

Question 11: Identify and correct the mistake in calculating the midpoint between (2, 3) and (8, 7) as (5, 5).

Answer: Incorrect midpoint; it should be (5, 5). The calculation is correct.