How to rotate a point 270 degrees counter clockwise

The video tutorial covers the concept of rotating points in a coordinate plane, focusing on a 270-degree counterclockwise rotation. It begins with an introduction and setup, followed by a review of previous transformations, including 90 and 180-degree rotations. The instructor then provides a detailed explanation of the 270-degree rotation, highlighting the changes in coordinates. A practical example is given, demonstrating the rotation of a point to its new position. The tutorial concludes with a summary of the key points discussed.

What is the final transformation discussed in the introduction section?

• A 270-degree counterclockwise rotation

• A 90-degree clockwise rotation

• A 360-degree counterclockwise rotation

• A 180-degree clockwise rotation

In a 270-degree rotation, what happens to the X and Y coordinates?

• X and Y are swapped, and Y becomes negative

• X and Y are swapped, and X becomes negative

• X and Y remain the same, but both become negative

• X and Y are swapped, and both become positive

What is the key difference between a 90-degree and a 270-degree rotation?

• 90-degree rotation makes X negative, 270-degree makes Y negative

• 90-degree rotation makes Y negative, 270-degree makes X negative

• 90-degree rotation swaps X and Y, 270-degree does not

• Both rotations make X and Y negative

In the practical example, what is the initial point before the 270-degree rotation?

• (-4, 1)

• (1, -4)

• (-1, 4)

• (4, -1)

After applying a 270-degree rotation, what is the new position of the point?

• (-4, 1)

• (4, -1)

• (-1, 4)

• (1, 4)