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

What does it mean to translate a point?

Back

To translate a point means to move it a certain distance in a specified direction without changing its shape or orientation.

Front

If point J is at (0, 0) and is translated 5 units left and 2 units up, what are the new coordinates?

Back

(-5, 2)

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 for a shape reflected across the x-axis?

Back

The line of reflection is the x-axis itself.

Front

How do you identify the line of reflection for a shape?

Back

The line of reflection is the line that is equidistant from the original shape and its image.

Front

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

Back

The x-coordinate changes sign, while the y-coordinate remains the same.

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

If a shape is rotated 90 degrees clockwise, how do the coordinates change?

Back

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