Sure! Here is a transcription suitable for an educational website: --- **Coordinate Geometry Worksheet** This worksheet presents several problems related to coordinate geometry, specifically focusing on finding midpoints and missing endpoints of line segments on a coordinate plane. **Problem 16** Find the coordinates of the missing endpoint given that E is the midpoint of DF. - **F(5, 8), E(4, 3)** **Problem 17** Find the coordinates of the missing endpoint given that E is the midpoint of DF. - **F(2, 9), E(1, 6)** **Problem 18** Find the coordinates of the missing endpoint given that E is the midpoint of DF. - **D(-3, -8), E(1, -2)** **Problem 19** *Diagram Description:* A graph is provided with a line segment MZ plotted on it. The line stretches from point M to point Z on a grid with labeled axes. - **Objective:** Find the coordinates of the midpoint of the pictured segment MZ. **Problem 20** *Diagram Description:* A graph is provided with a line segment ES plotted on it. The line stretches from point E to point S on a grid with labeled axes. - **Objective:** Find the coordinates of the midpoint of the pictured segment ES. **Notes:** - In the first three problems, you are provided with one endpoint and the midpoint of a line segment. Use the midpoint formula to determine the missing endpoint. - In problems 19 and 20, use the coordinates of the endpoints provided on the grid to calculate the midpoint directly. **Midpoint Formula:** For a line segment with endpoints \((x_1, y_1)\) and \((x_2, y_2)\), the midpoint \((M_x, M_y)\) is given by: \[ M_x = \frac{x_1 + x_2}{2}, \quad M_y = \frac{y_1 + y_2}{2} \] **Additional Observations:** - Each number and its corresponding line indicates that these are step-by-step problems for students to work through and apply their understanding of the midpoint concept. --- This transcription highlights the educational purpose of the worksheet, enabling students to practice key concepts in coordinate geometry.