Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Front

What are the three main types of transformations?

Back

Translation, Rotation, and Reflection.

Front

Define translation in geometry.

Back

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

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

Define reflection in geometry.

Back

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

Front

What does it mean to rotate a figure 90 degrees counterclockwise?

Back

It means to turn the figure 90 degrees to the left around a fixed point.

Front

How does a figure change during a translation?

Back

The figure moves to a new location without changing its shape or orientation.

Front

What is the effect of reflecting a figure across the x-axis?

Back

The y-coordinates of the points of the figure change sign, while the x-coordinates remain the same.

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The new coordinates become (-x, y).

Front

What is the result of rotating a point (x, y) 180 degrees around the origin?

Back

The new coordinates become (-x, -y).