Question

Ivan used coordinate geometry to prove that quadrilateral EFGH is a square.

Answer 1

Answer:

$\overline {EH}$ || $\overline {FG}$

Step-by-step explanation:

The reason for statement 4 are:

E(-2,3), H(1,0)

$m=\frac{0-3}{1--2}=-\frac{3}{3}=-1$, this means the slope of $\overline {EH}$ is $-1$.

Also

F(1,6), G(4,3)

$m=\frac{3-6}{4-1}=-\frac{3}{3}=-1$, this means the slope of $\overline {FG}$ is $-1$.

Since the slope of $\overline {EH}$ and $\overline {FG}$ are equal to $-1$ .

The two line segments are parallel and we write them as:

$\overline {EH}$ || $\overline {FG}$

Answer 2

Answer: EF, FG, GH, and EH are congruent

Step-by-step explanation: I am 100% sure this is the answer, literally just took the test