Transformations: Translations, Reflections, Rotations #1

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

How do you represent a translation mathematically?

Back

A translation can be represented as (x + a, y + b), where 'a' is the horizontal shift and 'b' is the vertical shift.

Front

What is the effect of translating a point 3 units left and 2 units up?

Back

The new coordinates of the point (x, y) will be (x - 3, y + 2).

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

How do you reflect a point over the y-axis?

Back

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

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, known as the center of rotation.

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is measured in degrees and indicates how far the figure is turned around the center of rotation.

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise?

Back

The new coordinates of a point (x, y) after a 90° counterclockwise rotation will be (-y, x).

Front

What is the rule for a 180° rotation about the origin?

Back

The rule for a 180° rotation about the origin is (x, y) -> (-x, -y).

Front

How do you find the new position of a point after a translation?

Back

To find the new position, add the translation values to the original coordinates.