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

How do you perform a dilation on a point?

Back

To dilate a point (x, y) by a scale factor k, multiply both coordinates by k: (kx, ky).

Front

What is the scale factor in dilation?

Back

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

Front

What is the rule for reflecting a point across the x-axis?

Back

The rule is (x, y) → (x, -y).

Front

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

Back

The rule is (x, y) → (y, -x).

Front

What is the rule for rotating a point 180° counterclockwise?

Back

The rule is (x, y) → (-x, -y).

Front

How do you describe a transformation that moves a figure 5 units to the right and 3 units up?

Back

This transformation is a translation.