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, meaning the figure's dimensions remain unchanged.

Front

What is the rule for a 90° clockwise rotation?

Back

(x,y) → (y, -x)

Front

What is the rule for a 90° counterclockwise rotation?

Back

(x,y) → (-y, x)

Front

What is the rule for a 180° rotation?

Back

(x,y) → (-x, -y)

Front

What is the algebraic notation for a reflection across the x-axis?

Back

(x, y) → (x, -y)

Front

What is the algebraic notation for a reflection across the y-axis?

Back

(x, y) → (-x, y)

Front

What is the algebraic notation for a reflection across the line y = x?

Back

(x, y) → (y, x)

Front

What is the rule for translating a point 2 units right and 1 unit down?

Back

(x, y) → (x + 2, y - 1)

Front

What is the rule for translating a point 1 unit left and 2 units up?

Back

(x, y) → (x - 1, y + 2)

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.