Understanding Rotations: Identifying and Rotating Figures in the Coordinate Plane

The video tutorial covers the concept of rotations in geometry, explaining how to identify and perform rotations on a coordinate plane. It introduces the vocabulary of transformations, including translations, reflections, and dilations. Using a clock analogy, the tutorial explains clockwise and counterclockwise rotations. Practical examples demonstrate rotating figures about the origin and a vertex, with strategies for visualizing these transformations.

What is a transformation in the context of coordinate geometry?

• A change in the material of a figure

• A change in the color of a figure

• A change in the location or orientation of a figure

• A change in the size of a figure

Which of the following is true about a rotation?

• It changes the size of the figure

• It requires a change in the center of rotation

• It changes the shape of the figure

• It results in a congruent image

What is the angle of rotation if a figure is turned a quarter turn clockwise?

• 180 degrees

• 90 degrees

• 270 degrees

• 45 degrees

If a figure is rotated 180 degrees, what can be said about the direction of rotation?

• It must be specified as either clockwise or counterclockwise

• It must be clockwise

• It must be counterclockwise

• The direction does not matter

Which strategy can help visualize a rotation on a coordinate plane?

• Using a ruler

• Using tracing paper

• Using a calculator

• Using a protractor

What is the center of rotation when rotating a figure about the origin?

• (1, 1)

• (3, 3)

• (0, 0)

• (2, 2)

When rotating a figure about a vertex, what remains unchanged?

• The color of the figure

• The position of the vertex

• The size of the figure

• The shape of the figure

If a triangle is rotated 90 degrees counterclockwise about one of its vertices, what happens to that vertex?

• It moves to a new position

• It becomes the center of the coordinate plane

• It remains in the same position

• It changes its coordinates

How many units does a side of a triangle move if it is rotated 90 degrees counterclockwise about a vertex?

• It moves 2 units

• It depends on the length of the side

• It moves 3 units

• It moves 1 unit

What is the new position of a point after a 90-degree clockwise rotation about the origin?

• The x-coordinate becomes the y-coordinate

• The y-coordinate becomes the x-coordinate

• The x-coordinate becomes negative

• The y-coordinate becomes negative