What is the line of reflection that reflects quadrilateral $$A B C D$$ onto quadrilateral $$A^{\prime} B^{\prime} C^{\prime} D^{\prime}$$ ? ![](http://admin.getprephub.com/media/editor/pt31_20230124211642713792.png)

Answer The co-ordinate of $$B$$ is $$(1,-1)$$ and the co-ordinate of $$B^{\prime}$$ is $$(3,3)$$ The midpoint between $$B(1,-1)$$ and $$B^{\prime}(3,3)$$ is $$(\frac{1+3}{2}, \frac{-1+3}{2})=(2,1)$$ The line of reflection must pass through $$(2,1)$$. The co-ordinate of $$C$$ is $$(0,2)$$ and the co-ordinate of $$C^{\prime}$$ is $$(0,2)$$ The midpoint between $$C(0,2)$$ and $$C^{\prime}(0,2)$$ is $$(\frac{0+0}{2}, \frac{2+2}{2})=(0,2)$$ Therefore,the line of reflection must pass through $$(2,1)$$ and $$(0,2)$$. Therefore the correct diagram is ![](http://admin.getprephub.com/media/editor/pt31s_20230124211659312488.png)