To rotate the point \((4, 3)\) clockwise by \(270^\circ\), you can follow these steps:

1. A \(270^\circ\) clockwise rotation is equivalent to a \(90^\circ\) counterclockwise rotation.
2. The rule for a \(90^\circ\) counterclockwise rotation of a point \((x, y)\) is:  
   \((x, y) \rightarrow (-y, x)\).
3. Applying this to \((4, 3)\):  
   \((4, 3) \rightarrow (-3, 4)\).

Thus, the new coordinates after the rotation are \((-3, 4)\).

Would you like more details or have any questions about the process?

Here are five related questions to expand on this:

1. How do you rotate points by other angles like \(180^\circ\)?
2. What is the rule for rotating points counterclockwise by \(270^\circ\)?
3. How do you apply rotation transformations using matrices?
4. What happens when you rotate the same point multiple times?
5. How would you graphically verify this rotation on a coordinate plane?

**Tip:** When rotating points, always remember the signs of the coordinates will change depending on the direction and angle of rotation.

Discover how to rotate the point (4, 3) clockwise by 270 degrees, which is equivalent to a 90-degree counterclockwise rotation. Learn the rotation transformation formula and understand the step-by-step process. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation