1. Students describe the effect of dilations on two-dimensional figures using coordinates (Lesson 6).
2. Students know an informal proof of why dilations are degree-preserving transformations and map segments to segments, lines to lines, and rays to rays.
-We know that we can calculate the coordinates of a dilated point given the coordinates of the original point and the scale factor.
-To find the coordinates of a dilated point we must multiply both the -coordinate and the -coordinate by the scale factor of dilation.
-If we know how to find the coordinates of a dilated point, we can find the location of a dilated triangle or other two dimensional figure.
Remember: In order to dilate an object and make it bigger, you need to multiply by a scale factor that is greater than 1.
In order to dilate an object and make it smaller, you need to multiply by a scale factor that is a fraction greater than 0 but less than 1.