Rigid Transformations Warm-Up

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, meaning the figure's dimensions remain unchanged.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

Translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

What is a reflection in geometry?

Back

A reflection is a rigid transformation that flips a figure over a line, creating a mirror image of the original figure.

Front

How does rotation differ from translation and reflection?

Back

Rotation is a rigid transformation that turns a figure around a fixed point, changing its orientation but not its shape or size.

Front

What is the effect of a translation of 5 units left and 1 unit up on a point (x, y)?

Back

The new coordinates of the point after the translation would be (x - 5, y + 1).

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point of the figure is mapped to a point directly opposite it on the other side of the x-axis, changing the sign of the y-coordinate.

Front

If a point A has coordinates (3, 4), what are the coordinates of A' after a reflection across the y-axis?

Back

The coordinates of A' after reflection across the y-axis would be (-3, 4).

Front

What is the result of rotating a point (x, y) 180° about the origin?

Back

The result of rotating a point (x, y) 180° about the origin is (-x, -y).

Front

What is the relationship between translations and slides in geometry?

Back

In geometry, a slide is another term for a translation; both refer to moving a figure without altering its shape or size.