1. Chapter 5 Notes

2. 5.6 Reflections ▪ Reflection (flip) – a transformation in which a figure is reflected over a line of reflection (the x and y axes are commonly used). ▪ To reflect over the x-axis, just change the y value in the ordered pair to its opposite. ▪ To reflect over the y-axis, just change the x value in the ordered pair to its opposite.

3. 5.7 Rotations ▪ Rotations (turns)- a transformation where the figure is rotated around a point called the center of rotation (We will always use the origin). ▪ To rotate a figure 90 degrees counter clockwise, flip the X and Y values and the change the sign of the X. ▪ To rotate a figure 90 degrees clockwise, flip the X and Y values and change the sign of the Y. ▪ To rotate a figure 180 degrees, change the signs of both X and Y values (DO NOT FLIP!!)

4. Dilations ▪ Dilation- A transformation in which a figure is made larger or smaller. The original figure and its image will be similar but not congruent. ▪ Multiply both the X and the Y values by the scale factor to the coordinates for the image. ▪ If the scale factor is more than 1, it is an enlargement. If it is less than 1, it is a reduction.