Exploring Dilation in Non-Rigid Transformations

What is a translation in the context of transformations?

• Changing the color of an object

• Flipping an object over a line

• Shifting an object from one place to another

• Rotating an object around a point

What does a rotation transformation involve?

• Turning an object around a fixed point

• Expanding or contracting an object

• Moving an object closer or further away

• Shifting an object left or right

How is a reflection different from other rigid transformations?

• It changes the object's size

• It involves flipping the object over a line

• It moves the object to a new location

• It rotates the object around its center

What characteristic defines a rigid transformation?

• It allows the object to change shape

• It preserves the distances between points

• It changes the angles within the object

• It alters the object's color

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

• It only involves rotation

• It does not preserve distances between points

• It cannot change an object's size

• It is not used in geometry

What is dilation in the context of transformations?

• Shifting an object's position

• Changing an object's color

• Scaling an object up or down

• Rotating an object

Why is dilation considered a non-rigid transformation?

• Because it involves rotating the object

• Because it preserves the object's shape but changes its size

• Because it only shifts the object's position

• Because it changes the object's color

What is the purpose of learning about different types of transformations?

• To focus solely on rigid transformations

• To appreciate the variety of ways objects can be manipulated

• To understand how to change an object's color

• To learn how to move objects in space