RS has endpoints at R(0, 2) and S(4, 10). Find the midpoint M of RS.

Write the coordinates as decimals or integers.

The formula for finding the midpoint \( M(x, y) \) of a line segment with endpoints \( R(x_1, y_1) \) and \( S(x_2, y_2) \) is:

\[
M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
\]

In this case, the coordinates of \( R \) are \( (0, 2) \) and the coordinates of \( S \) are \( (4, 10) \). Using the midpoint formula:

\[
M = \left( \frac{0 + 4}{2}, \frac{2 + 10}{2} \right)
= \left( \frac{4}{2}, \frac{12}{2} \right)
= (2, 6)
\]

Thus, the midpoint \( M \) is \( (2, 6) \).

Would you like more details or have any further questions?

Here are five related questions:
1. How do you find the distance between points \( R \) and \( S \)?
2. What is the slope of the line segment \( RS \)?
3. Can you find the equation of the line passing through \( R \) and \( S \)?
4. How would the midpoint formula change in three dimensions?
5. What if the coordinates of \( R \) were \( (-1, 3) \) and \( S \) were \( (5, 7) \), what would the midpoint be?

**Tip:** Midpoints are useful for bisecting line segments and can also help in determining the center of a line segment in geometry problems.

RS has endpoints at R(0, 2) and S(4, 10). Find the midpoint M of RS.

Discover how to find the midpoint of line segment RS with endpoints R(0, 2) and S(4, 10) using the midpoint formula. This geometry problem covers important concepts in coordinate geometry, perfect for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation