Calculating the Midpoint and Length of a Segment Practice — Grade 9 math

Lesson 86: Calculating the Midpoint and Length of a Segment — Practice Questions

1. A line segment has endpoints at $(1, 5)$ and $(7, 3)$. The coordinates of its midpoint are ___.
2. What are the coordinates of the midpoint of the segment connecting points $(-6, 2)$ and $(4, -10)$?
- A. (-1, -4)
- B. (-5, 6)
- C. (-2, -8)
- D. (-1, 4)
3. A line segment has endpoints at $(3, -2)$ and $(8, 5)$. The coordinates of its midpoint are ___. Enter as a coordinate pair `(x, y)`.
4. To find the x-coordinate of the midpoint of a segment with endpoints $(x_1, y_1)$ and $(x_2, y_2)$, which calculation should be performed?
- A. $\frac{x_1 + x_2}{2}$
- B. $\frac{x_2 - x_1}{2}$
- C. x_1 + x_2
- D. $\frac{y_1 + y_2}{2}$
5. A line segment has one endpoint at $(1, 8)$ and its midpoint at $(4, 5)$. The other endpoint has the coordinates ___.
6. What are the coordinates of the midpoint of a line segment with endpoints at $(2, 6)$ and $(8, 4)$? Enter your answer in the format $(x, y)$.
7. Find the midpoint of the line segment connecting the points $(-1, 9)$ and $(5, -3)$.
- A. (2, 3)
- B. (4, 6)
- C. (3, -6)
- D. (-3, 6)
8. A line segment has one endpoint at $A(2, -4)$ and its midpoint at $M(5, 1)$. What are the coordinates of the other endpoint, $B$? Enter your answer in the format $(x, y)$.
9. What is the midpoint of a segment with endpoints at $(-5, 8)$ and $(4, -3)$? Enter your answer as a coordinate pair with fractions, like $(x/y, a/b)$.
10. The midpoint formula is used to find the point that is exactly in the middle of a line segment. This is conceptually the same as finding the...
- A. sum of the coordinates.
- B. average of the coordinates.
- C. distance between the endpoints.
- D. slope of the line segment.