Points After Rotation in Geometry

The video tutorial explains how to rotate triangle PIN by negative 270 degrees around the origin, which is equivalent to a positive 90-degree rotation. The instructor uses right triangles to demonstrate the rotation of each vertex (I, N, P) step-by-step, showing how to determine the new positions of these points. The process involves understanding the concept of negative and positive rotations and using interactive tools to visualize the transformation.

What is the standard convention for the direction of rotation by a positive angle?

• Clockwise

• Counter-clockwise

• Downwards

• Upwards

If a triangle is rotated by negative 270 degrees, what is the equivalent positive rotation?

• Positive 90 degrees

• Positive 180 degrees

• Positive 270 degrees

• Positive 360 degrees

When rotating point I by 90 degrees, what happens to the side that originally goes along the x-axis?

• It disappears

• It remains along the x-axis

• It goes along the y-axis

• It goes along the z-axis

After rotating point I by 90 degrees, what is the new position of point I?

• (7, 0)

• (0, 7)

• (-7, 0)

• (0, -7)

What is the length of the side of the right triangle used to rotate point N that goes below the origin?

• 2 units

• 9 units

• 5 units

• 7 units

After rotating point N by 90 degrees, what is the new position of point N?

• (2, -7)

• (-7, 2)

• (2, 7)

• (7, 2)

When rotating point P by 90 degrees, what happens to the side that originally goes to the right?

• It remains to the right

• It goes straight up

• It disappears

• It goes straight down

What is the length of the side of the right triangle used to rotate point P that goes to the right?

• 3 units

• 7 units

• 5 units

• 2 units

After rotating point P by 90 degrees, what is the new position of point P?

• (3, -2)

• (-2, 3)

• (3, 2)

• (2, 3)

What is the final step to complete the rotation of the triangle?

• Erase the original triangle

• Rotate the triangle again

• Change the color of the triangle

• Connect the new points to form the rotated triangle