Exploring Rigid Motions in Geometry

The video tutorial covers geometric transformations, including reflections, rotations, translations, and dilations. It explains the notation for each transformation and discusses rigid motions, which include reflections, rotations, and translations. The tutorial uses examples, such as a dog and Pac-Man, to illustrate these concepts.

What is the notation used for a reflection over the y-axis?

• R_y

• r_y

• T_y

• D_y

If a shape is rotated 90 degrees counterclockwise around the origin, what is the notation used?

• R(90, origin)

• r(90)

• R(90)

• r(90, origin)

What does a negative degree of rotation indicate?

• Counterclockwise rotation

• Random rotation

• Clockwise rotation

• No rotation

In the notation for translations, what does the first value represent?

• Scale factor

• Rotation angle

• Horizontal movement

• Vertical movement

How would you write a translation that moves a shape 3 units to the left and 4 units up?

• T(-3, -4)

• T(3, -4)

• T(-3, 4)

• T(3, 4)

What is the notation for a dilation with a scale factor of 2?

• T(2)

• d(2)

• R(2)

• D(2)

Which of the following transformations is NOT a rigid motion?

• Translation

• Rotation

• Reflection

• Dilation

What does the term 'rigid motion' refer to?

• Any transformation that changes the shape

• Any transformation that involves a scale factor

• Any transformation where the image and pre-image are congruent

• Any transformation that changes the size of the shape

In the Pac-Man example, what transformation is used to make Pac-Man face the opposite direction?

• Dilation

• Rotation

• Translation

• Reflection

How does Pac-Man move from one side of the screen to the other in the example?

• Rotation

• Translation

• Reflection

• Dilation