Symmetry of Rotations

Introduction

A rotation is where one moves something around a center or axis. On a graph, a lot of the time (0,0) is what something is rotated around.

Task

You will be rotating a triangle around the origin. You will be rotating it 90 degrees cc, 180 degrees cc, and 270 degrees cc.

The triangle's coordinates are:

A: (5,-2)

B: (3,7)

C: (-5,9)

Process

For a 90 degree rotation cc, (x,y) changes to (-y,x)

180 degrees rotation cc, (x,y) goes to (-x,-y)

270 degrees cc, (x,y) changes to (y,-x)

Evaluation

If you are doing it right then when you fully rotate the triangle, it should fit back onto itself again.

Conclusion

A: (5,-2)

B: (3,7)

C: (-5,9)

90 degrees:

A': (2,5)

B': (-7,3)

C': (-9,5)

180 degrees:

A': (-5,2)

B': (-3,-7)

C': (5,-9)

270 degrees:

A': (-2,-5)

B': (7,-3)

C': (9,5)

Credits

Green Paper

Mrs. Roitz

ME