Series of Transformation Rules (No Dilations)

Front

What is a translation in geometry?

Back

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

Front

What is the rule for translating a point (x, y) 2 units to the right and 3 units up?

Back

(x, y) → (x + 2, y + 3)

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

What is the rule for rotating a point (x, y) 90° clockwise around the origin?

Back

(x, y) → (y, -x)

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

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

Back

(x, y) → (x, -y)

Front

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

Back

(x, y) → (-x, y)

Front

What is the combined effect of translating a point and then reflecting it?

Back

The final position depends on the translation vector and the line of reflection.

Front

What is the rule for rotating a point (x, y) 180° around the origin?

Back

(x, y) → (-x, -y)

Front

What is the effect of performing a translation followed by a rotation?

Back

The final position is determined by the translation first, then the rotation applied to the translated point.