Geometry Transformations

Front

What is a translation in geometry?

Back

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

Front

How do you perform a translation on a point (x, y) using the rule (x + a, y + b)?

Back

You add 'a' to the x-coordinate and 'b' to the y-coordinate of the point.

Front

What is the result of translating the point (5, 2) using the translation rule (x + 2, y - 7)?

Back

The result is the point (7, -5).

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

What does a 90° clockwise rotation do to the coordinates of a point (x, y)?

Back

It transforms the point to (y, -x).

Front

What is the result of rotating the point (3, 4) 90° clockwise about the origin?

Back

The result is the point (4, -3).

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 line of reflection for the point (2, -7) to become (-7, 2)?

Back

The line of reflection is y = x.

Front

How do you reflect a point (x, y) over the line y = x?

Back

You swap the x and y coordinates, resulting in the point (y, x).

Front

What is the effect of a 180° rotation about the origin on the point (x, y)?

Back

The point is transformed to (-x, -y).