Graph rectangle MNOP with vertices M(-2,6),N(2,8),O(5,2) and P(1,0) and reflect it across the following lines of reflection: 1) x=0 2) y=3 3) y=x 4) y=-x

To reflect the rectangle MNOP across the given lines of reflection, we need to find the coordinates of the reflected points.1) Reflection across the line :The line is the y-axis. To reflect a point across the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same.So, the reflected points are: 2) Reflection across the line :The line is a horizontal line. To reflect a point across a horizontal line, we change the y-coordinate to , where is the y-coordinate of the line of reflection.So, the reflected points are: 3) Reflection across the line :The line is a diagonal line. To reflect a point across the line=x M(-2,6) \rightarrow M'(6,-2) N(2,8) \rightarrow N'(8,2) O(5,2) \rightarrow O'(2,5) P(1,0) \rightarrow P'(0,1) y=-x y=-x y=-x M(-2,6) \rightarrow M'(-6,2) N(2,8) \rightarrow N'(-2 Therefore, the reflected rectangle MNOP across the given lines of reflection are:1) 2) 3) 4)