Rigid Transformations Introduction

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in geometry.

Back

A transformation that moves every point of a figure the same distance in a given direction.

Front

What is reflection in geometry?

Back

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

Front

Explain rotation in geometry.

Back

A transformation that turns a figure about a fixed point at a certain angle and direction.

Front

What is the line of symmetry?

Back

A line that divides a figure into two mirror-image halves.

Front

How do you perform a translation of a point?

Back

Add the translation vector to the coordinates of the point.

Front

What happens to the coordinates of a point (x, y) when it is translated 4 units left and 5 units down?

Back

The new coordinates will be (x-4, y-5).

Front

What is the result of rotating a point 90 degrees clockwise around the origin?

Back

The new coordinates (x, y) become (y, -x).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips it over a line.

Front

What is dilation in geometry?

Back

A transformation that changes the size of a figure but not its shape.