Question

given P(-3,2)Q(3,-1)R(3,-4)S(-3,-7) in the diagram find a line of reflection that will flip the figure onto itself one line of reflection is y=___

Answer 1

y = -5/2

Reason: P(-3,2) and S(-3,-7) have midpoint y = (2 + (-7))/2 = -2.5, and Q(3,-1) and R(3,-4) have midpoint y = (-1 + (-4))/2 = -2.5, so reflection across y = -5/2 maps P↔S and Q↔R, carrying the figure onto itself.