Flashcard 12

Front

What are the coordinates of a point (x, y) after a 90-degree counterclockwise rotation around the origin?

Back

The new coordinates will be (-y, x).

Front

What is the result of reflecting a point (x, y) across the x-axis?

Back

The new coordinates will be (x, -y).

Front

What is the result of reflecting a point (x, y) across the y-axis?

Back

The new coordinates will be (-x, y).

Front

What is the result of rotating a point (x, y) 90 degrees clockwise around the origin?

Back

The new coordinates will be (y, -x).

Front

What is the result of rotating a point (x, y) 270 degrees clockwise around the origin?

Back

The new coordinates will be (-y, x).

Front

What is the composition of transformations?

Back

It is the combination of two or more transformations applied to a figure.

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 at a certain angle.

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 the rule for reflecting a point (a, b) across the line y = x?

Back

The new coordinates will be (b, a).