Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a geometric figure in some way to produce a new figure.

Front

What are the main types of transformations?

Back

The main types of transformations are translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a figure horizontally, vertically, or both without changing its shape or size.

Front

What happens to the coordinates of a point (x, y) when it is translated 4 units left?

Back

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

Front

If triangle ABC is translated down 9 and right 4, what are the new coordinates of point A (x, y)?

Back

The new coordinates will be (x+4, y-9).

Front

What is reflection in geometry?

Back

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

Front

How do you reflect a point (x, y) over the y-axis?

Back

The reflected point will be (-x, y).

Front

What is rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

If a point (x, y) is rotated 90 degrees counterclockwise around the origin, what are the new coordinates?

Back

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

Front

What is dilation in geometry?

Back

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