Transformations Introduction

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 figure from one position to another without turning it.

Front

What happens to the size of a figure during a translation?

Back

The size of the figure remains the same during a translation.

Front

What is a rotation in geometry?

Back

Rotation is a transformation that turns a figure 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

Define dilation in geometry.

Back

Dilation is a transformation that changes the size of a figure by a scale factor, either enlarging or reducing it.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the size of the new figure to the size of the original figure.

Front

If a figure is dilated by a scale factor of 1/2, what happens to its size?

Back

The figure gets smaller.

Front

Write the translation rule for moving a point (x, y) 2 units right and 1 unit up.

Back

(x + 2, y + 1) is the translation rule.