Midpoint Formula Practice (Grade 11)

Midpoint Formula Practice

Read each question carefully and show all your work. Use the midpoint formula M = ((x₁ + x₂)/2, (y₁ + y₂)/2) where necessary.

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

2. Calculate the midpoint of the segment connecting ( -10, -5 ) and ( 2, 9 ).

3. The midpoint formula averages the   coordinates and the   coordinates separately.

4. If a line segment has endpoints P(x₁, y₁) and Q(x₂, y₂), the midpoint M is given by the formula M = ( ,  ).

5. The midpoint of a line segment is M(3, 7). One endpoint is A( -1, 4 ). Find the coordinates of the other endpoint B.

6. If P(5, -2) is the midpoint of segment AB, and A is (1, 8), what are the coordinates of point B?

7. Which of the following is the midpoint of the segment connecting ( -6, 1 ) and ( 2, 5 )?

8. A city planner is designing a new park. The two furthest points in the park are located at ( -12, 18 ) and ( 20, -6 ) on a coordinate map. Where should the main entrance be placed if it is exactly halfway between these two points?