Transformations

Front

What is a translation in geometry?

Back

A translation is a transformation that moves every point of a figure the same distance in a specified direction.

Front

Describe the transformation: (x, y) → (x-2, y+7)

Back

Translation 2 units to the left & 7 units up.

Front

How do you translate triangle A'B'C' from triangle ABC using (x-2, y+9)?

Back

Move triangle A'B'C' 2 units to the left and 9 units up from triangle ABC.

Front

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

Back

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

Front

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

Back

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

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

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

Back

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

Front

What is the transformation that turns a figure around a point?

Back

Rotation.

Front

What is the difference between translation and rotation?

Back

Translation moves a figure without changing its orientation, while rotation turns a figure around a point.

Front

What are the coordinates of point R after a 90-degree clockwise rotation from (3, 3)?

Back

(3, -3).