Question

Can you answer this question on GRAPHS and find what D is with working out

Answer 1

`(18,14)`

Explanation:

`\mathrm{Since\ AB=BC=CD,\ we\ may\ say\ that\ B\ is\ midpoint\ of\ AC\ and\ C\ is\ midpoint}\\\mathrm{of\ BD.}\\\mathrm{Let\ the\ coordinates\ of\ C\ be\ (x,y)\ and\ D\ be\ (a,b).}\\\mathrm{Using\ midpoint\ formula,}\\\\\mathrm{(6,6)=((0+x)/(2),(2+y)/(2))}\\\\\mathrm{or,\ 6=(x)/(2)\ and\ y+2=12}\\\\\mathrm{or,\ x=12\ and\ y=10}\\\mathrm{So,\ coordinates\ of\ C\ is\ (12,10).}`

`\mathrm{As\ C\ is\ midpoint\ of\ BD,}\\\\\mathrm{(x,y)=((6+a)/(2),(6+b)/(2))}\\\\\mathrm{or,\ (12,10)=((6+a)/(2),(6+b)/(2))}\\\\\mathrm{or,\ 12=(6+a)/(2)\ and\ 10=(6+b)/(2)}\\\mathrm{or,\ a=18\ and\ b=14}\\\mathrm{So,\ the\ coordinates\ of\ D\ is\ (18,14).}`