Geometry 1 - Rigid Transformations

Front

What is a rigid transformation?

Back

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

Front

What happens to a point (x, y) when it is reflected over the y-axis?

Back

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

Front

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

Back

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

Front

What is the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

The new coordinates will be (x + 2, y - 1).

Front

What is the term for the original figure before a transformation?

Back

Pre-Image.

Front

What is the term for the figure after a transformation?

Back

Image.

Front

What is the algebraic notation for reflecting a point (x, y) over the x-axis?

Back

(x, y) → (x, -y).

Front

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

Back

A' is at (-3, 4).

Front

What is the effect of a translation on a figure?

Back

A translation moves every point of a figure the same distance in the same direction.

Front

What is the algebraic notation for a translation that moves a point (x, y) 3 units left and 2 units up?

Back

(x, y) → (x - 3, y + 2).