a square whose vertices coincide with the endpoints of the line from (1,3) to (3,-1). determine the other vertices and its area.
Hello, dwightlumanta321!
We have a square. .Two of its vertices are (1,3) and (3,-1).
Determine the other vertices and its area.
The problem is not clearly stated.
If the two vertices are consecutive vertices,
. . there are two scenarios. .This is one of them.
Going from $\displaystyle A$ to $\displaystyle B$, we move right 2, down 4.Code:| +4 D | + - - - - - o (5,5) | : * | +2: * * | -* | A o {1,3) * | : | : * * | : C | -4: * o (7,1) | : * : ----+---:-----*-------*-----: -2 ---- | : * : | + - - - o - - - - - + | +2 (3,-1) +4 | B
Hence, going from $\displaystyle B$ to $\displaystyle C$, we move right 4, up 2.
And going from $\displaystyle A$ to $\displaystyle D$, we move right 4, up 2.
If those are opposite vertices, we have this diagram.
To go from $\displaystyle A(1,3)$ to $\displaystyle M(2,1)$ (the midpoint of $\displaystyle AC$),Code:| | A | (1,3) | o - + | \ : D | \ : o (4,2} | \:M : + - - - o - - - + B: (2,1)\ ----o---------\---------- |(0,0) \ | o | (3,-1) | C
. . we go 1 right, down 2.
Hence, to go from $\displaystyle M$ to $\displaystyle B$, we go left 2, down 1.
And to go from $\displaystyle M$ to $\displaystyle D$. we go right 2, up 1.