Identify Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry is an operation that moves or changes a shape in some way to produce a new shape.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

Rotation is a transformation that turns a shape 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 shape but keeps its proportions the same, either enlarging or reducing it.

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped during a reflection transformation.

Front

What does it mean to rotate a shape 90 degrees clockwise?

Back

Rotating a shape 90 degrees clockwise means turning the shape around a point so that it moves to the right by a quarter turn.

Front

How does a dilation affect the dimensions of a shape?

Back

A dilation affects the dimensions of a shape by multiplying the coordinates of each point by a scale factor, which can either enlarge or reduce the shape.

Front

What is the center of dilation?

Back

The center of dilation is the fixed point in a dilation transformation from which all points are expanded or contracted.

Front

What is the difference between a rigid transformation and a non-rigid transformation?

Back

A rigid transformation (like translation, rotation, and reflection) preserves the shape and size of a figure, while a non-rigid transformation (like dilation) changes the size.