Transformations Refresher Flashcard

Front

What is a reflection across the x-axis?

Back

A transformation that flips a figure over the x-axis, changing the sign of the y-coordinates of each point.

Front

What is the rule for translating a point 2 units to the right and 1 unit down?

Back

(x + 2, y - 1)

Front

What does a 180° rotation about the origin do to the coordinates of a point (x, y)?

Back

It transforms the point to (-x, -y).

Front

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

Back

A transformation that flips a figure over the y-axis, changing the sign of the x-coordinates of each point.

Front

What is the result of rotating a point (3, 4) 90 degrees counterclockwise about the origin?

Back

The new coordinates will be (-4, 3).

Front

What is a translation in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) when it is reflected across the line y = x?

Back

The coordinates switch places, resulting in (y, x).

Front

What is the effect of a 270° rotation counterclockwise about the origin?

Back

It is equivalent to a 90° rotation clockwise, transforming (x, y) to (y, -x).

Front

What is the rule for reflecting a point across the y-axis?

Back

(x, y) becomes (-x, y).

Front

If a point (2, 3) is translated 1 unit left and 4 units up, what are the new coordinates?

Back

(1, 7).