Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to create a new shape.

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 slides a shape a certain distance in a specified direction.

Front

What does it mean to reflect a shape?

Back

To reflect a shape means to flip it over a line, creating a mirror image.

Front

What is rotation in geometry?

Back

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

Front

How many degrees is a full rotation?

Back

A full rotation is 360 degrees.

Front

What is the result of a 90-degree rotation counterclockwise?

Back

A 90-degree rotation counterclockwise turns the shape to the left, changing its orientation.

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.

Front

What is the effect of a translation of 5 units left and 1 unit up on a point (3, 4)?

Back

The new point will be (3-5, 4+1) = (-2, 5).

Front

What is the line of reflection?

Back

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