Translations, Reflections, & Rotations

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 given direction.

Front

How do you perform a reflection across the y-axis?

Back

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

Front

What happens to the coordinates of a point when it is rotated 90° counterclockwise about the origin?

Back

The new coordinates of a point (x, y) become (-y, x).

Front

What is the result of rotating a point 180° about the origin?

Back

The new coordinates of a point (x, y) become (-x, -y).

Front

How do you translate a point 3 units to the left and 9 units down?

Back

Subtract 3 from the x-coordinate and 9 from the y-coordinate.

Front

What is the angle of rotation for a 270° counterclockwise rotation?

Back

A 270° counterclockwise rotation is equivalent to a 90° clockwise rotation.

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 the difference between a rotation and a translation?

Back

A rotation turns a figure around a point, while a translation slides a figure in a straight line without changing its orientation.

Front

If point A(2, 3) is reflected across the x-axis, what are the new coordinates?

Back

The new coordinates are A'(2, -3).

Front

What is the transformation that moves a figure without changing its shape or size?

Back

This transformation is called a translation.