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

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, by a certain angle.

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

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but keeps its shape the same, using a scale factor.

Front

How do you identify a rotation transformation?

Back

A rotation can be identified by the angle of rotation and the center point around which the figure is rotated.

Front

What are the coordinates of a point after a 90° clockwise rotation about the origin?

Back

If a point (x, y) is rotated 90° clockwise, its new coordinates will be (y, -x).

Front

What happens to the coordinates of a point during a translation?

Back

During a translation, the coordinates of a point are adjusted by adding the translation values to the original coordinates.

Front

How do you perform a reflection over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates will be (x, -y).

Front

What is the effect of a dilation with a scale factor of 2?

Back

A dilation with a scale factor of 2 will double the distance of each point from the center of dilation, effectively enlarging the figure.

Front

How do you translate a point (3, 4) by 2 units right and 3 units down?

Back

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