Grade 11- Translation Formulaes

TRANSLATION RULES If the point is translated to form the point where a is a horizontal move and b is a vertical move, then the following rules apply: If 0 a , the horizontal translation is to the right. If 0 a , the horizontal translation is to the left. If , the vertical translation is upward. If , the vertical translation is downward REFLECTION RULES Reflection about the y-axis: Reflection about the x-axis: Reflection about the line : RULES OF ROTATION ABOUT THE ORIGIN Rotation of 90 anti-clockwise: Rotation of 90 clockwise: Rotation of clockwise or anti-clockwise: ENLARGEMENT AND REDUCTION RULES If , the image is an enlargement of the original figure. Multiply the original first and second coordinates by k units to get the coordinates of the image. The image will be 2 times larger than the original figure. If , the image is a reduction of the original figure. Multiply the original first and second coordinates by k units to get the coordinates of the image.If 0 k , the image is a rotation of of the original figure followed by an enlargement of the original figure. Multiply the original first and second coordinates by k units to get the coordinates of the image. 2 22 Area of image Area of original Area of image or Area of original Area of original 1 or Area of image k kk