Rigid Transformations and Congruence

Front

What are rigid transformations?

Back

Rigid transformations are transformations that preserve the shape and size of a figure. They include translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that moves every point of a figure the same distance in a specified direction.

Front

What is the effect of a rotation on a figure?

Back

A rotation turns a figure around a fixed point, called the center of rotation, by a certain angle in a specified direction.

Front

How does reflection affect a figure?

Back

Reflection flips a figure over a line, creating a mirror image of the original figure.

Front

What is congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid transformations.

Front

What is the transformation from point (x, y) to (x+8, y+4)?

Back

This transformation is a translation that moves the point 8 units to the right and 4 units up.

Front

What does it mean for a figure to be reflected over the x-axis?

Back

Reflecting a figure over the x-axis means that each point (x, y) of the figure is transformed to (x, -y).

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated during a rotation transformation.

Front

Describe the properties of a figure after a rigid transformation.

Back

After a rigid transformation, the figure retains its size and shape, meaning all corresponding sides and angles remain equal.

Front

What is the difference between a rotation and a reflection?

Back

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