Translations, Rotations, Reflections, and 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 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 a reflection in geometry?

Back

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

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape, using a scale factor.

Front

What is the scale factor in a dilation?

Back

The scale factor is a number that describes how much a figure is enlarged or reduced during a dilation.

Front

How do you perform a reflection across the x-axis?

Back

To reflect a point (x, y) across the x-axis, the new coordinates will be (x, -y).

Front

How do you perform a reflection across the y-axis?

Back

To reflect a point (x, y) across the y-axis, the new coordinates will be (-x, y).

Front

What is the rule for rotating a point 90° clockwise?

Back

The rule for rotating a point (x, y) 90° clockwise is (x, y) → (y, -x).

Front

What is the rule for rotating a point 180°?

Back

The rule for rotating a point (x, y) 180° is (x, y) → (-x, -y).

Front

What is the rule for rotating a point 270° clockwise?

Back

The rule for rotating a point (x, y) 270° clockwise is (x, y) → (-y, x).