Transformation Review

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

Define translation in the context of transformations.

Back

Translation is a type of transformation that slides a shape in a straight line from one position to another without changing its size, shape, or orientation.

Front

What is a reflection in geometry?

Back

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

Front

How do you represent a reflection across the x-axis algebraically?

Back

The algebraic representation is @@(x, y) ightarrow (x, -y)@@.

Front

What is the algebraic representation for a reflection across the y-axis?

Back

The algebraic representation is @@(x, y) ightarrow (-x, y)@@.

Front

What does it mean to rotate a shape?

Back

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

Front

How do you represent a rotation of 90 degrees counterclockwise around the origin?

Back

The algebraic representation is @@(x, y) ightarrow (-y, x)@@.

Front

What is the difference between a pre-image and an image in transformations?

Back

The pre-image is the original shape before a transformation, while the image is the resulting shape after the transformation.

Front

What is a dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same, either enlarging or reducing it.

Front

How do you represent a dilation with a scale factor of k?

Back

The algebraic representation is @@(x, y) ightarrow (kx, ky)@@.