Relate coordinates of a point on the coordinate plane and its image produced by a translation, reflection, or rotation.
[i]Answer these open ended questions on your own or with others to form deeper math connections.[/i]
Is this statement true always, sometimes, or never?: A translation makes the coordinates of a point increase. Give examples to explain your thinking.
Always, sometimes, or never: If point [math]A’[/math] is a reflection of point [math]A[/math], their [math]x[/math]-coordinates are opposites. Give examples to explain your thinking.
Always sometimes, or never: [math]A[/math] is transformed to [math]A’[/math] by a rotation. If the coordinates of [math]A[/math] are [math](x,y)[/math], then the coordinates of [math]A’[/math] are [math](y,x)[/math].