First, construct an Equilateral Equiangular Triangle Rotation to prove SAS Congruence on a coordinate plane. Make sure to measure your triangle's angles and sides. You can use the concept of distance and slope to ensure your triangle satisfies the criteria indicated by your choice. Write down the original coordinates of this triangle. Next, identify and label three points on the coordinate plane that are the transformation of your original triangle. Remember, you only need to complete one transformation on your triangle. Write down these new coordinates for this second triangle.
70 points
Use the coordinates of your rotation to show that the two triangles are congruent by the SAS postulate. You can use the distance formula to show congruency for the sides. To show an angle is congruent to a corresponding angle, you can use slope or your compass and straightedge. (Hint: Remember when you learned how to copy an angle?) You must show all work with the distance formula for the corresponding pair of sides, and your work for the corresponding angles, to receive full credit.