Transformations: Dilation and Rigid Motion

The video tutorial introduces the concept of transformations, focusing initially on rigid transformations such as translation, rotation, and reflection, where the distances between points are preserved. It then transitions to non-rigid transformations, specifically dilation, where the distances can change, allowing for scaling up or down of shapes.

What is a rigid transformation?

• A transformation that flips an object over a line

• A transformation that alters the size of an object

• A transformation that preserves the lengths between points

• A transformation that changes the shape of an object

Which of the following is an example of a translation?

• Changing the size of a triangle

• Rotating a triangle around a point

• Moving a triangle from one place to another

• Flipping a triangle over a line

What happens to an object during a rotation?

• It is resized

• It is turned around a fixed point

• It is flipped over a line

• It is moved to a different location

How does a non-rigid transformation differ from a rigid transformation?

• It only involves flipping the object

• It does not preserve the lengths between points

• It changes the shape of the object

• It preserves the lengths between points

What is dilation in the context of transformations?

• A process of flipping an object over a line

• A process of scaling an object up or down

• A process of rotating an object around a point

• A process of moving an object to a new location

Which transformation involves changing the size of an object?

• Translation

• Rotation

• Dilation

• Reflection

What is the main characteristic of a dilation?

• It changes the size of the object

• It involves flipping the object over a line

• It moves the object to a different location

• It preserves the original size of the object

Why is dilation considered a non-rigid transformation?

• Because it preserves the lengths between points

• Because it involves flipping the object

• Because it changes the size of the object

• Because it only involves moving the object