Test on 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

What does translation do to a shape?

Back

Translation slides a shape from one position to another without changing its size, shape, or orientation.

Front

If a point (x, y) is translated 4 units left, what are the new coordinates?

Back

The new coordinates will be (x-4, y).

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.

Front

What does a 90-degree clockwise rotation do to a point (x, y)?

Back

The new coordinates will be (y, -x).

Front

What is a reflection in geometry?

Back

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

Front

What is the line of reflection?

Back

The line of reflection is the line over which a shape is flipped to create its mirror image.

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

What happens to the coordinates of a shape during a dilation with a scale factor of 2?

Back

The new coordinates will be (2x, 2y), effectively doubling the distance from the center of dilation.