A scale drawing of a storage box on a coordinate grid shows a square with the points (3, -1) and (4, 4) as the locations of two adjacent vertices.

Which pair of coordinate points could represent the other two vertices?

(-2, 0) and (-1, 5)

(8, -2) and (10, 3)

(-2, 0) and (8, -2)

(8, -2) and (9, 4)

Question

A scale drawing of a storage box on a coordinate grid shows a square with the points (3, -1) and (4, 4) as the locations of two adjacent vertices. 

Which pair of coordinate points could represent the other two vertices? 


 (-2, 0) and (-1, 5) 

 (8, -2) and (10, 3) 

 (-2, 0) and (8, -2) 

 (8, -2) and (9, 4)

anonymous · Answer

the length of the segment given is sqrt(26)

of all the choices, only one of them has a distance of sqrt(26)

anonymous · Answer

wait and which one is that ?:

anonymous · Answer

we know that a square has four equal sides.  and we can determine the length of one side by the length between the two given vertices.

this yields sqrt(26) as a given side length.  that means the other side length must also be sqrt(26)

anonymous · Answer

im still lost, can you please help me get the answer