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 reflected across the line [math]y=x[/math]?
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 line [math]y=-x[/math]?
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?