Sequence of 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 a rotation in geometry?

Back

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

Front

Explain reflection in geometry.

Back

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

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but not its shape, by a scale factor.

Front

What is the effect of a 180° rotation on a shape?

Back

A 180° rotation turns a shape upside down, effectively reversing its orientation.

Front

How does a reflection across the x-axis affect the coordinates of a point?

Back

A reflection across the x-axis changes the sign of the y-coordinate of a point (x, y) to (x, -y).

Front

What happens to a shape when it is reflected across the y-axis?

Back

A reflection across the y-axis changes the sign of the x-coordinate of a point (x, y) to (-x, y).

Front

What is the result of performing two reflections across parallel lines?

Back

Two reflections across parallel lines is equivalent to a translation.