Use a sequence of rigid transformations to map [math]\Delta ABC[/math] onto three other triangles. [br][br](1) Create [math]\Delta A'B'C'[/math] by reflecting [math]\Delta ABC[/math] over the line through points B and C.[br](2) Create [math]\Delta A''B''C''[/math]by rotating [math]\Delta A'B'C'[/math] 90 degrees clockwise about point A'. [br](3) Create a vector from (0, -2) to (4, -4)[br](4) Translate [math]\Delta A''B''C''[/math] along the vector you just made to create [math]\Delta A'''B'''C'''[/math].[br][br]What do you notice about the [math]\Delta A'''B'''C'''[/math] and [math]\Delta DEF[/math]? [br][br]What mathematical statement can you now make about these two triangles?[br][br]Can you find a different sequence of rigid transformations that will map [math]\Delta ABC[/math] onto [math]\Delta DEF[/math]?