Transformations Math

Front

What is a transformation in math?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, or reflection.

Front

What are the three main types of transformations?

Back

Translation, Reflection, Rotation.

Front

What does translation mean in geometry?

Back

Translation is a transformation that slides a figure from one position to another without turning it.

Front

What is a reflection in geometry?

Back

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

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 figure is translated using the rule (x+3, y), how does it move?

Back

The figure moves 3 units to the right.

Front

If a figure is translated using the rule (x-2, y), how does it move?

Back

The figure moves 2 units to the left.

Front

If a figure is translated using the rule (x, y-5), how does it move?

Back

The figure moves 5 units down.

Front

If a figure is reflected over the x-axis, what happens to the y-coordinates?

Back

The y-coordinates of the points are multiplied by -1.

Front

If a figure is rotated 90 degrees clockwise, what happens to its coordinates?

Back

The new coordinates (x', y') are given by (y, -x).