Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What happens to a point when it is reflected over the y-axis?

Back

The x-coordinate of the point changes sign, while the y-coordinate remains the same.

Front

If point (-5, 2) is reflected over the y-axis, what is the new point?

Back

(5, 2)

Front

What is the effect of a reflection over the x-axis on a point's coordinates?

Back

It changes the y-coordinate of the point.

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

How do you describe a translation that moves a figure 3 units up and 6 units left?

Back

The translation can be described as 'Up 3, Left 6'.

Front

What is the result of a translation of 5 units right and 1 unit down on point (2, 3)?

Back

The new point will be (7, 2).

Front

What is the definition of a translation in geometry?

Back

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

Front

What does a 90-degree rotation counterclockwise around the origin do to the coordinates of a point (x, y)?

Back

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

Front

What is the difference between a reflection and a rotation?

Back

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