Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a function that moves or changes a shape in a specific way, including translations, rotations, reflections, and dilations.

Front

What is a translation in geometry?

Back

A translation is a type of geometric transformation that slides a figure from one position to another without turning it.

Front

What happens to the coordinates of a point (x, y) during a translation by (a, b)?

Back

The new coordinates become (x + a, y + b).

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 find the image of a point reflected over the y-axis?

Back

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

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 effect of a 90-degree clockwise rotation on the point (x, y)?

Back

The new coordinates become (y, -x).

Front

What is the line of reflection for the point (3, 4) reflected over the line y = x?

Back

The image of the point (3, 4) reflected over the line y = x is (4, 3).

Front

What is the coordinate of the image of point P with coordinates (-3, -2) if reflected over the line y = -x?

Back

P' is (2, 3).

Front

What is the difference between a translation and a reflection?

Back

A translation slides a figure without changing its orientation, while a reflection flips it over a line, changing its orientation.