Explore Reflections, Rotations, and Translations

Front

What is a reflection in geometry?

Back

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

Front

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

Back

To reflect a point (x, y) in the x-axis, the new coordinates become (x, -y).

Front

What is a rotation in geometry?

Back

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

Front

How do you rotate a point (x, y) 90 degrees clockwise about the origin?

Back

The new coordinates become (y, -x).

Front

What is a translation in geometry?

Back

A translation is a transformation that slides a figure from one position to another without changing its shape or orientation.

Front

How do you describe a translation of 5 units up and 3 units right?

Back

The translation can be described as moving the figure 3 units to the right and 5 units up.

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.

Front

How do you dilate a point (x, y) with a scale factor of 2?

Back

To dilate a point (x, y) with a scale factor of 2, the new coordinates become (2x, 2y).

Front

What happens to the coordinates of a point when it is rotated 180 degrees about the origin?

Back

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

Front

What is the effect of reflecting a point in the y-axis?

Back

To reflect a point (x, y) in the y-axis, the new coordinates become (-x, y).