Transformations: Rotation, Reflection, and Translation

The video tutorial covers the concept of rotation in geometry, explaining how a figure can be rotated around a center point, known as the center of rotation. It demonstrates rotating figures, such as triangles and squares, and discusses the properties of these rotations. The tutorial also explores using a vertex as the center of rotation and provides real-world examples, like ice skaters, to illustrate the concept. The video concludes with a brief overview of reflection and translation, setting the stage for future lessons on graphing and algebraic transformations.

What is the center of rotation?

• A point where a figure is shrunk

• A point around which a figure is turned

• A point where a figure is enlarged

• A point where a figure is flipped

What remains unchanged during a rotation?

• The size and shape of the figure

• The color of the figure

• The texture of the figure

• The position of the figure

How does the orientation of a figure change during rotation?

• It becomes larger

• It becomes smaller

• It flips upside down

• It changes the way it is sitting

What happens if a vertex is the center of rotation?

• The figure rotates around the vertex

• The figure flips over the vertex

• The figure shrinks towards the vertex

• The figure enlarges from the vertex

What is the effect of rotating a triangle around the origin?

• The triangle flips upside down

• The triangle rotates around the origin

• The triangle enlarges

• The triangle shrinks

How many degrees does a square rotate to return to its original position?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

What is the sum of the interior angles of a triangle?

• 270 degrees

• 180 degrees

• 90 degrees

• 360 degrees

How does an ice skater rotate?

• By jumping up and down

• By spinning around a center point

• By sliding on ice

• By flipping over

What is the center of rotation for an ice skater?

• The tip of the skate

• The center of the body

• The edge of the rink

• The top of the head

What is reflection in terms of transformations?

• Rotating a figure

• Flipping a figure over

• Sliding a figure

• Enlarging a figure