Question

Connor is constructing square ABCD. He has plotted A at (−2, 4), C at (−1, 1) and D at (−3, 2). Which coordinate could be the location of point B?

B (0, 3)
B (0, 0)
B (1, 1)
B (−1, 2)

Answer 1

Answer: The answer is B(0,3)

Step-by-step explanation: I took the test and made sure it was correct

Answer 2

Point $B$ is $\boldsymbol{(0,3)}$

A square is a regular quadrilateral, which means that it has four equal sides and four equal angles. It can also be defined as a rectangle in which two adjacent sides have equal length.

Diagonals of square bisect each other.

Let point $B$ be $(x,y)$

Midpoint of $AC=$ midpoint of $BD$

$\left ( \frac{-2-1}{2},\frac{4+1}{2} \right )=\left ( \frac{x-3}{2},\frac{y+2}{2} \right )$

$-3=x-3$

  $5=y+2$

So,

$(x,y)=(0,3)$

Point $B$ is $\boldsymbol{(0,3)}$

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