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 rotation?

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 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?

Back

To map a shape means to apply a transformation to it, resulting in a new position or orientation of the shape.

Front

How do you perform a reflection over the y-axis?

Back

To reflect a point (x, y) over the y-axis, the new coordinates become (-x, y).

Front

What happens to the coordinates of a point after a 180-degree rotation about the origin?

Back

After a 180-degree rotation about the origin, the coordinates of a point (x, y) become (-x, -y).

Front

What is the sequence of transformations?

Back

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