Transformations Geometry

Front

What is a translation in geometry?

Back

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

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 the rule for translating a point (x, y) by 2 units to the right and 1 unit down?

Back

(x + 2, y - 1) is the rule for this translation.

Front

What does it mean to reflect a figure across the x-axis?

Back

Reflecting a figure across the x-axis means that each point (x, y) of the figure is transformed to (x, -y).

Front

What does it mean to reflect a figure across the y-axis?

Back

Reflecting a figure across the y-axis means that each point (x, y) of the figure is transformed to (-x, y).

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around a point, resulting in an upside-down image.

Front

How do you identify a translation on a graph?

Back

A translation can be identified by observing that the shape and size of the figure remain the same, but its position changes.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

What is the effect of a reflection across the line y = x?

Back

Reflecting across the line y = x swaps the x and y coordinates of each point, transforming (x, y) to (y, x).