Rigid Transformations

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, meaning the original figure and its image are congruent.

Front

What are the three types of rigid transformations?

Back

1. Rotation 2. Reflection 3. Translation

Front

Define rotation in the context of rigid transformations.

Back

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

Front

What is reflection in rigid transformations?

Back

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

Front

What is translation in rigid transformations?

Back

A transformation that slides a figure from one position to another without changing its size, shape, or orientation.

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they have the same shape and size, regardless of their position or orientation.

Front

How do you identify the image of a figure after a transformation?

Back

The image is the result of applying a transformation to the original figure, often denoted with a prime symbol (e.g., A'B'C').

Front

What is the effect of a 90-degree clockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 180-degree rotation on a point (x, y)?

Back

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

Front

What is the effect of a reflection over the x-axis on a point (x, y)?

Back

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