Rotations. Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph.

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Presentation transcript:

rotations

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 90° clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? (1, -2) (1, -4) (5, -2) (x,y) became (y, -x)

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 180° clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? (-2, -1) (-4, -1) (-2, -5) (x,y) became (-x, -y)

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 270° clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? (-1, 2) (-1, 4) (-5, 2) (x,y) became (-y, x)

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle 270° counterclockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? (1, -2) (1, -4) (5, -2) (x,y) became (y, -x) What does a counterclockwise rotation of 270° about the origin look like? It’s the same as a 90° clockwise rotation about the origin

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Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle _________ clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? ( ) ( ) ( ) (x,y) became ( )

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle __________ clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? ( ) ( ) ( ) (x,y) became ( )

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle ___________ clockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? ( ) ( ) ( ) (x,y) became ( )

Graph the following coordinates, then connect the dots (2, 1) (4,1) (2, 5) X y Rotate the triangle _________ counterclockwise about the origin and graph the resulting image. List the coordinates of the new image What happened? ( ) ( ) ( ) (x,y) became ( ) What does a counterclockwise rotation of 270° about the origin look like? It’s the same as a ____________ rotation about the origin