Transformations -

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

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 rotation in geometry?

Back

Rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.

Front

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

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate to (-x, y).

Front

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

Back

To reflect a point (x, y) over the x-axis, change the sign of the y-coordinate to (x, -y).

Front

What is vertical symmetry?

Back

Vertical symmetry occurs when a shape can be divided into two identical halves by a vertical line.

Front

What is horizontal symmetry?

Back

Horizontal symmetry occurs when a shape can be divided into two identical halves by a horizontal line.