A reflection is a transformation that uses a line like a mirror to reflect or "flip" a figure. The mirror line is called the "line of reflection."[br][br]The following activities will help you explore various types of reflections. Like the last exploration, observe how this type of transformation affects the points, segments and angle measures of the figure when creating the image. [br]
So far you have explored three different scenarios. You should have noticed the following patterns or rules: [br][br]If a figure is reflected in the y-axis, then all of the points will move according to the rule [br][math]\left(x,y\right)\longrightarrow\left(-x,y\right)[/math].[br]If a figure is reflected in the x-axis, then all of the points will move according to the rule [math]\left(x,y\right)\longrightarrow\left(x,-y\right).[/math].[br]If a figure is reflected in the line y = x , the all of the points will move according to the rule [math]\left(x,y\right)\longrightarrow\left(y,x\right)[/math].[br][br]What do you think is the rule when figures are reflected in the line y=-x? (Record your answer in 9)