Name The Transformations

Front

What is a transformation in geometry?

Back

A transformation is a function that maps a geometric figure onto a new figure, changing its position, size, or orientation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that moves every point of a figure the same distance in a specified direction.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, by a scale factor.

Front

What is the difference between rigid and non-rigid transformations?

Back

Rigid transformations preserve the shape and size of a figure (e.g., translation, rotation, reflection), while non-rigid transformations can change the size (e.g., dilation).

Front

What does it mean for a transformation to be rigid?

Back

A rigid transformation is one that does not alter the size or shape of a figure.

Front

Provide an example of a translation.

Back

Moving a triangle 5 units to the right and 3 units up is an example of translation.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a figure is reflected to create a mirror image.

Front

How do you identify a rotation?

Back

A rotation can be identified by the center of rotation and the angle through which the figure is turned.