Properties of Transformations

Front

What is a transformation in geometry?

Back

A transformation is a change in the position, size, or shape of a figure.

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 a figure a certain distance in a specified direction.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

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

Front

Define dilation in geometry.

Back

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

Front

What is a scale factor in dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

If a scale factor is greater than 1, what type of transformation occurs?

Back

An enlargement occurs when the scale factor is greater than 1.

Front

If a scale factor is less than 1, what type of transformation occurs?

Back

A reduction occurs when the scale factor is less than 1.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have equal measures.