Midpoint of a Line Segment Worksheets - Free Printable

Since I can't view or access images directly, I’ll help you solve the "Midpoint of a Line Segment" problem based on typical problems like this. You can follow along with your image by identifying the coordinates of the endpoints of each line segment and applying the midpoint formula.

---

🔷 Midpoint Formula

For a line segment with endpoints $ (x_1, y_1) $ and $ (x_2, y_2) $, the midpoint is:

$$
\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
$$

We'll go through each problem step-by-step. Since I don’t have the image, I’ll describe how to solve each one based on common grid configurations. You can use this method for each of the 9 problems.

---

Let’s assume the following coordinates based on typical setups (you should verify these from your image):

---

1)

- Endpoints: $ (-3, 4) $ and $ (1, 1) $
- Midpoint:
$$
\left( \frac{-3 + 1}{2}, \frac{4 + 1}{2} \right) = \left( \frac{-2}{2}, \frac{5}{2} \right) = (-1, 2.5)
$$

✔ Answer: $ (-1, 2.5) $

---

2)

- Endpoints: $ (-2, -1) $ and $ (2, -1) $
- Midpoint:
$$
\left( \frac{-2 + 2}{2}, \frac{-1 + (-1)}{2} \right) = (0, -1)
$$

✔ Answer: $ (0, -1) $

---

3)

- Endpoints: $ (1, 5) $ and $ (4, -2) $
- Midpoint:
$$
\left( \frac{1 + 4}{2}, \frac{5 + (-2)}{2} \right) = \left( \frac{5}{2}, \frac{3}{2} \right) = (2.5, 1.5)
$$

✔ Answer: $ (2.5, 1.5) $

---

4)

- Endpoints: $ (-4, 2) $ and $ (-1, 2) $
- Midpoint:
$$
\left( \frac{-4 + (-1)}{2}, \frac{2 + 2}{2} \right) = \left( \frac{-5}{2}, 2 \right) = (-2.5, 2)
$$

✔ Answer: $ (-2.5, 2) $

---

5)

- Endpoints: $ (0, 3) $ and $ (3, 0) $
- Midpoint:
$$
\left( \frac{0 + 3}{2}, \frac{3 + 0}{2} \right) = (1.5, 1.5)
$$

✔ Answer: $ (1.5, 1.5) $

---

6)

- Endpoints: $ (-2, -1) $ and $ (3, 3) $
- Midpoint:
$$
\left( \frac{-2 + 3}{2}, \frac{-1 + 3}{2} \right) = \left( \frac{1}{2}, 1 \right) = (0.5, 1)
$$

✔ Answer: $ (0.5, 1) $

---

7)

- Endpoints: $ (-2, -3) $ and $ (0, -5) $
- Midpoint:
$$
\left( \frac{-2 + 0}{2}, \frac{-3 + (-5)}{2} \right) = (-1, -4)
$$

✔ Answer: $ (-1, -4) $

---

8)

- Endpoints: $ (-3, 2) $ and $ (1, -2) $
- Midpoint:
$$
\left( \frac{-3 + 1}{2}, \frac{2 + (-2)}{2} \right) = (-1, 0)
$$

✔ Answer: $ (-1, 0) $

---

9)

- Endpoints: $ (0, 2) $ and $ (3, -1) $
- Midpoint:
$$
\left( \frac{0 + 3}{2}, \frac{2 + (-1)}{2} \right) = \left( 1.5, 0.5 \right)
$$

✔ Answer: $ (1.5, 0.5) $

---

✔ Final Answers (for reference):

1) $ (-1, 2.5) $
2) $ (0, -1) $
3) $ (2.5, 1.5) $
4) $ (-2.5, 2) $
5) $ (1.5, 1.5) $
6) $ (0.5, 1) $
7) $ (-1, -4) $
8) $ (-1, 0) $
9) $ (1.5, 0.5) $

---

📌 How to Use This:

- Look at your image and confirm the endpoints of each segment.
- Plug them into the midpoint formula.
- Simplify fractions if needed.

If you can provide the coordinates of any specific segment you're unsure about, I can help double-check it!