Transformations. 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, called the image.

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 reflection in geometry?

Back

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

Front

Explain 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 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 does it mean to map a shape onto another shape?

Back

To map a shape onto another shape means to apply a sequence of transformations to the original shape so that it coincides with the new shape.

Front

What is the sequence of transformations?

Back

The sequence of transformations is the order in which multiple transformations are applied to a shape.

Front

How does a 180-degree rotation affect the coordinates of a point?

Back

A 180-degree rotation about the origin changes the coordinates (x, y) of a point to (-x, -y).

Front

What is the result of reflecting a shape over the x-axis?

Back

Reflecting a shape over the x-axis changes the y-coordinates of its points to their opposites, while the x-coordinates remain the same.