rotations geometry flashcard

Front

What is the rule for rotating a point 180° clockwise?

Back

( x, y ) → ( -x, -y )

Front

What is another term used for rotation in geometry?

Back

Turn

Front

What is the result of rotating the point J (8, -6) 180° counterclockwise?

Back

J' (-8, 6)

Front

What is the rule for rotating a point 270° clockwise?

Back

( x, y ) → ( -y, x )

Front

What are the coordinates of point A' after rotating point A (-3, -5) 180° about the origin?

Back

(-3, -5) becomes (3, 5) after rotation.

Front

How does a 90° clockwise rotation affect the coordinates of a point (x, y)?

Back

( x, y ) → ( y, -x )

Front

What is the effect of a 90° counterclockwise rotation on the coordinates of a point (x, y)?

Back

( x, y ) → ( -y, x )

Front

What is the general formula for rotating a point (x, y) 360°?

Back

( x, y ) → ( x, y ) (no change)

Front

How do you determine the new coordinates after a rotation about the origin?

Back

Apply the appropriate rotation rule based on the angle of rotation.

Front

What is the image of the point (4, 3) after a 180° rotation?

Back

(-4, -3)