Explore transformations of triangles on the coordinate plane. Identify how coordinates are affected by the results of transformations.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
If point [math]P[/math] has coordinates [math](x,y)[/math], what will be the coordinates of [math]P'[/math] after [math]P[/math] has been translated to the right 3 units and down 2 units?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been reflected across the [math]x[/math]-axis?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been reflected across the [math]y[/math]-axis?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been rotated 90° clockwise around the origin?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been rotated 180° clockwise around the origin?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been rotated 270° clockwise around the origin?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] has been a dilations of 2?
If point [math]P[/math] has coordinates [math](x,y)[/math], what are the coordinates of [math]P’[/math] after [math]P[/math] 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?