Identifying Transformations Study Guide

Front

What is a transformation in geometry?

Back

A transformation 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 slides a shape from one position to another without turning it.

Front

What does it mean to rotate a shape?

Back

To rotate a shape 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 shape over a line, creating a mirror image.

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

How do you identify a 90° clockwise rotation?

Back

A 90° clockwise rotation turns a shape to the right, moving each point to a new position based on the center of rotation.

Front

What is the effect of reflecting a shape across the x-axis?

Back

Reflecting a shape across the x-axis flips it vertically, changing the sign of the y-coordinates of its points.

Front

What is the effect of reflecting a shape across the y-axis?

Back

Reflecting a shape across the y-axis flips it horizontally, changing the sign of the x-coordinates of its points.

Front

What is a dilation in geometry?

Back

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