SEQUENCE OF TRANSFORMATION Rotations For 180 degree rotation

SEQUENCE OF TRANSFORMATION

Rotations • For 180 degree rotation about the origin, (x, y) becomes (-x, -y) • For 90 degree rotation counter-clockwise about the origin, (x, y) becomes (-y, x) • For 90 degree rotation clockwise about the origin, (x, y) becomes (y, -x) • For 270 degree rotation clockwise about the origin, (x, y) becomes (-y, x)

Quick Review • For 180 degree rotation about the origin, (x, y) becomes (-x, -y) ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’( ) ) D’ A’ C’ B’ B C A D

Quick Review For 90 degree rotation counter-clockwise about the origin, (x, y) becomes (-y, x) ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’ C’ B’ ) ) A’ B C A D

Quick Review • For 90 degree rotation clockwise about the origin, (x, y) becomes (y, -x) ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’( ) ) B C A D A’ D’ B’ C’

Quick Review • For 270 degree rotation clockwise about the origin, (x, y) becomes (-y, x) ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’ C’ B’ ) ) A’ B C A D

Reflections and Translations • Perform translations using a translation formula (x means left (-) or right (+), y means up (+) or down(-)). • Perform a reflection using a line of reflection that is a horizontal, vertical, or diagonal line. (oblique line)

Quick Review • (x means left (-) or right (+), • y means up (+) or down(-)) Translate (x-1, y-6) ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’( ) ) B’ A’ B C A D C’ D’

Quick Review • Reflection about the y-axis ABCD A(2, 3) B(2, 7) C(6, 2) D(6, 7) A’B’C’D’ A’( B’( C’( D’( ) ) B C A D A’ B’ D’ C’

Plot the pre-image, Quadrilateral ABCD: A(-6, 4), B(-5, 6), C(-4, 4), D(-5, 2) Then, reflect the quadrilateral across the line x = -2 creating image A’B’C’D’ Then, translate the image A’B’C’D’ (x, y) →(x+3, y-5) to create image A’’B’’C’’D’’ x-=-2

Stations – 10 mins each • Each station will have two sequences of transformations and graph paper • Keep your colored pencils with you

Plot the pre-image, Pentagon EFGHI: E(-5, 1), F(-3, 3), G(-1, 3), H(1, 1), I(-2, 0) Then, reflect the pentagon across the line y = 3 creating image E’F’G’H’I’ Then, rotate E’F’G’H’I’ 90° counterclockwise about the origin to create image E”F”G”H”I” x-=-2

Plot the pre-image, Quadrilateral ABCD: A(-6, 4), B(-5, 6), C(-4, 4), D(-5, 2) Then, reflect the quadrilateral across the line x = -2 creating image A’B’C’D’ Then, translate the image A’B’C’D’ (x, y) →(x+3, y-5) to create image A’’B’’C’’D’’ x-=-2