Transformations Review

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

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

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 a rotation?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is dilation?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, using a scale factor.

Front

What does it mean for a transformation to be rigid?

Back

A rigid transformation is one that preserves the shape and size of a figure, meaning the original and transformed figures are congruent.

Front

True or False: A translation is a rigid motion.

Back

True

Front

True or False: A dilation always results in a congruent figure.

Back

False

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.