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, such as translation, rotation, reflection, or dilation.

Front

What is translation in geometry?

Back

Translation is a transformation that moves every point of a shape a constant distance in a specified direction.

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is reflection in geometry?

Back

Reflection is a transformation that flips a shape over a line, creating a mirror image.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape by a scale factor, either enlarging or reducing it.

Front

What is the scale factor in dilation?

Back

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

Front

How do you perform a translation of a point?

Back

To translate a point, add the translation vector's x and y components to the point's coordinates.

Front

What happens to the coordinates of a point (x, y) after a reflection over the x-axis?

Back

The coordinates become (x, -y) after reflection over the x-axis.

Front

What happens to the coordinates of a point (x, y) after a reflection over the y-axis?

Back

The coordinates become (-x, y) after reflection over the y-axis.

Front

What is the result of rotating a point (x, y) 90° clockwise around the origin?

Back

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