Transforming Points on the Coordinate Plane

Explore transformations of triangles on the coordinate plane. Identify how coordinates are affected by the results of transformations.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

If point has coordinates , what will be the coordinates of after has been translated to the right 3 units and down 2 units?

If point has coordinates , what are the coordinates of after has been reflected across the -axis?

If point has coordinates , what are the coordinates of after has been rotated 90° clockwise around the origin?

If point has coordinates , what are the coordinates of after has been rotated 180° clockwise around the origin?

If point has coordinates , what are the coordinates of after has been rotated 270° clockwise around the origin?

If point has coordinates , what are the coordinates of after has been a dilations of 2?

If point has coordinates , what are the coordinates of after has been a dilations of 1/2?

How are the image and the pre-image different?

What remains the same after a translation?

What are some patterns or relationships you can see?