Understanding Counterclockwise Rotation: Explained with Step-by-Step Examples in Math

Rotation 90 degrees counterclockwise

When we rotate an object 90 degrees counterclockwise, we are essentially turning it 90 degrees in the opposite direction of the clock’s movement

When we rotate an object 90 degrees counterclockwise, we are essentially turning it 90 degrees in the opposite direction of the clock’s movement.

To visualize this, imagine a coordinate grid with the positive x-axis pointing to the right and the positive y-axis pointing upward.

For example, let’s consider the point (3, 4) on the coordinate grid. We will rotate this point 90 degrees counterclockwise.

To rotate a point counterclockwise, we can use the following steps:

1. Swap the x and y coordinates of the point: (3, 4) becomes (4, 3).
2. Negate the new x coordinate: (4, 3) becomes (-4, 3).

So after rotating the point (3, 4) 90 degrees counterclockwise, we get the new point (-4, 3).

Please note that this process applies to any point in the coordinate grid and can be extended to objects or shapes as well.

More Answers:

Understanding Reflections over the x-axis: Flipped Figures with Same Shape and Size
Understanding Reflection over the Y-Axis: A Comprehensive Guide for Math Enthusiasts
Understanding Reflections over the Line y=x in Geometry: A Guide and Example

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