Rigid Motion Transformations and Reflections

The video tutorial covers rigid motion transformations, focusing on translations, reflections, and rotations. It explains the concept of prime notation and the difference between image and pre-image. The lesson delves into reflections, detailing how to perform them over the x-axis, y-axis, and diagonal lines, as well as arbitrary lines. Key concepts include maintaining size and shape, and using equidistant principles for reflections.

Which of the following is NOT a rigid motion transformation?

• Dilation

• Rotation

• Reflection

• Translation

What is a key characteristic of rigid motion transformations?

• They change the size of the object

• They preserve the size and shape of the object

• They only involve rotations

• They only involve translations

In transformations, what is the term for the original object before transformation?

• Reflection

• Prime

• Pre-image

• Image

What does a reflection transformation involve?

• Changing the size of an object

• Rotating an object

• Flipping an object over a line

• Sliding an object

When reflecting over the x-axis, what happens to the coordinates?

• x-coordinate changes sign

• y-coordinate changes sign

• Both coordinates change sign

• Coordinates remain the same

What remains unchanged when reflecting over the y-axis?

• Both coordinates

• Neither coordinate

• x-coordinate

• y-coordinate

What happens to the coordinates when reflecting over the line y = x?

• Coordinates remain the same

• Coordinates swap places

• Coordinates change sign

• Coordinates double

When reflecting over the line y = -x, what changes occur to the coordinates?

• Coordinates remain the same

• Coordinates double

• Coordinates swap places

• Coordinates swap places and change sign

What is the key concept to remember when reflecting over any other line?

• The image is always to the right

• The image is always larger

• The image is always smaller

• The image is equidistant from the line of reflection