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 three main types of transformations?

Back

Translation, Reflection, and Rotation.

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 Reflection mean in geometry?

Back

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

Front

Explain Rotation in geometry.

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation.

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

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

Front

How do you identify a Translation transformation?

Back

A Translation can be identified if the shape moves without changing its size, shape, or orientation.

Front

What is the effect of a Reflection over the x-axis?

Back

A Reflection over the x-axis changes the sign of the y-coordinate of each point.

Front

What is the effect of a Reflection over the y-axis?

Back

A Reflection over the y-axis changes the sign of the x-coordinate of each point.

Front

How do you determine the center of rotation?

Back

The center of rotation is the fixed point around which a shape rotates.