Transformations Introduction

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 slides a figure from one position to another without turning it.

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.

Front

What is reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

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

Front

How does a scale factor of less than 1 affect a shape during dilation?

Back

A scale factor of less than 1 makes the shape smaller.

Front

What happens to a shape during a translation?

Back

During a translation, the shape moves to a new location without changing its size, shape, or orientation.

Front

What is the result of a 90-degree rotation about the origin?

Back

A 90-degree rotation about the origin changes the coordinates (x, y) to (-y, x).

Front

How can you identify a reflection in a set of figures?

Back

A reflection can be identified by looking for a mirror image across a specific line.