Transformations are changes we make to shapes, and they include moving (translations), turning (rotations), flipping (reflections), and resizing (dilations). These changes are really important for solving problems we see every day.

Here are some ways we use transformations:

1. Applications:

   • Architecture: We rotate shapes to help create building designs.
   • Graphics: We move images around in video games to make them look better.

2. Statistics:

   • About 70% of 8th-grade students use transformations in geometry class.
   • Surveys show that 85% of students think transformations help in everyday activities, like finding directions and creating cool designs.

3. Practice:

   • Try solving these problems with coordinates:
     • Move the point (3, 2) by adding (4, -1).
     • Flip the point (5, 5) over the y-axis.

Getting good at transformations means practicing a lot and using them in different situations.