True or False? The points $A , B , C$ and $D$ are vertices of a square.
$$A ( 6,4 ) ; B ( 8,5 ) ; C ( 7,7 ) ; D ( 5,6 )$$

Question

Quizplus · Accepted Answer

The distance between $A$ and $B$ is $ \sqrt{(8-6)^2+(5-4)^2} = \sqrt{4+1} = \sqrt{5}$The distance between $B$ and $C$ is $ \sqrt{(7-8)^2+(7-5)^2} = \sqrt{1+4} = \sqrt{5}$The distance between $C$ and $D$ is $ \sqrt{(5-7)^2+(6-7)^2} = \sqrt{4+1} = \sqrt{5}$The distance between $D$ and $A$ is $ \sqrt{(6-5)^2+(4-6)^2} = \sqrt{1+4} = \sqrt{5}$Since all four sides are equal, the figure is a square.

True or False? the Points A,B,CA , B , CA,B,C And DDD

True or False? the Points $A , B , C$ And $D$