Question 1: Find the midpoint of the segment joining points A(2, 4) and B(8, 10).

Answer: 5, 7

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

Answer: 5, 2

Question 3: A segment joins points C(0, 0) and D(10, 6). Plot and mark the midpoint on the grid.

Answer: Midpoint at (5, 3)

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

Answer: 1, 0

Question 5: Construct a segment with endpoints at (1, 1) and (9, 5). Find and mark its midpoint.

Answer: Midpoint at (5, 3)

Question 6: Calculate the midpoint of the segment between points M(2, 3) and N(8, 7).

Answer: 5, 5

Question 7: A line segment joins points (0, 5) and (10, 15). Determine the midpoint and explain its significance in the context of the segment.

Answer: Midpoint at (5, 10); it is the exact middle of the segment, dividing it into two equal parts.

Question 8: Find the midpoint between points (-3, 4) and (3, -2).

Answer: 0, 1

Question 9: Given the points A(1, 2) and B(7, 8), verify whether the point (4, 5) is the midpoint of AB.

Answer: Yes

Question 10: A segment has endpoints at (2, -1) and (10, 7). Find its midpoint and explain how this helps in bisecting the segment.

Answer: Midpoint at (6, 3); the midpoint is the point that divides the segment into two equal parts, useful for bisecting.

Question 11: Identify the mistake in determining the midpoint between (1, 4) and (7, 10) if a student calculated the midpoint as (4, 7).

Answer: Incorrect midpoint calculation; the correct midpoint is ((1+7)/2, (4+10)/2) = (4, 7). The calculation is actually correct, but ensure students understand the formula.

Question 12: Construct a triangle with vertices at (1, 1), (5, 1), and (3, 4). Find the midpoints of the sides and draw them on the grid.

Answer: Midpoint of side between (1,1) and (5,1): (3, 1); between (5,1) and (3,4): (4, 2.5); between (1,1) and (3,4): (2, 2.5)