How to determine the points of a triangle rotated 90 degrees counter clockwise

The video tutorial explains the concept of rotating a triangle around a fixed point, specifically focusing on counterclockwise rotations about the origin. It introduces the rule for 90-degree counterclockwise rotations, which involves swapping coordinates and making the first coordinate negative. The tutorial demonstrates this rule with specific coordinates, transforming them into new positions after rotation.

What is the assumed fixed point for rotations unless specified otherwise?

• The center of the figure

• The origin

• A random point on the plane

• The midpoint of a side

In which direction is the rotation performed in this tutorial?

• Horizontally

• Counterclockwise

• Clockwise

• Vertically

What is the rule for rotating a point 90 degrees counterclockwise?

• Swap the coordinates and make the first one negative

• Swap the coordinates and make the second one negative

• Keep the coordinates the same

• Reverse the order of the coordinates

If a point is at (1, -3), what will be its new position after a 90-degree counterclockwise rotation?

• (-1, -3)

• (-3, 1)

• (3, -1)

• (1, 3)

After applying the rotation rule, what is the new position of point Q originally at (5, -2)?

• (-2, 5)

• (2, -5)

• (5, 2)

• (-5, -2)