Exploring Geometry Concepts from 8 3 Notes

The video tutorial covers the concept of rotation in geometric transformations, focusing on rotations of 90, 180, and 270 degrees counterclockwise. It explains the rules for each rotation and provides examples using coordinates of geometric figures. The tutorial also demonstrates how to plot these transformations using tools like Desmos.

What is the center of rotation in a rotation transformation?

• A point that moves

• A fixed point

• A line segment

• A plane

In a 90 degrees counterclockwise rotation, what happens to the coordinates (x, y)?

• (-y, x)

• (x, y)

• (y, -x)

• (-x, -y)

If a point (2, 7) is rotated 90 degrees counterclockwise, what are the new coordinates?

• (7, -2)

• (-7, 2)

• (2, 7)

• (-2, -7)

What is the new coordinate of point (4, 1) after a 90 degrees counterclockwise rotation?

• (1, -4)

• (-1, 4)

• (4, 1)

• (-4, 1)

What is the rule for rotating a figure 180 degrees?

• (x, y) to (y, -x)

• (x, y) to (x, y)

• (x, y) to (-y, x)

• (x, y) to (-x, -y)

If a point (6, 5) is rotated 180 degrees, what are the new coordinates?

• (6, 5)

• (5, -6)

• (-5, 6)

• (-6, -5)

In a 270 degrees counterclockwise rotation, what happens to the coordinates (x, y)?

• (-x, -y)

• (-y, x)

• (x, y)

• (y, -x)

If a point (3, 4) is rotated 270 degrees counterclockwise, what are the new coordinates?

• (4, -3)

• (-3, -4)

• (3, 4)

• (-4, 3)

What is the new coordinate of point (8, 1) after a 270 degrees counterclockwise rotation?

• (-8, 1)

• (8, 1)

• (-1, 8)

• (1, -8)

What is the new coordinate of point (1, 1) after a 270 degrees counterclockwise rotation?

• (1, -1)

• (-1, 1)

• (-1, -1)

• (1, 1)