a square whose vertices coincide with the endpoints of the line from (1,3) to (3,-1). determine the other vertices and its area.

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- Aug 24th 2012, 08:33 PMdwightlumanta321Determining the vertices and its area
a square whose vertices coincide with the endpoints of the line from (1,3) to (3,-1). determine the other vertices and its area.

- Aug 24th 2012, 09:29 PMProve ItRe: Determining the vertices and its area
- Aug 25th 2012, 04:54 AMdwightlumanta321Re: Determining the vertices and its area
what does "coincide" means?

- Aug 25th 2012, 05:53 AMProve ItRe: Determining the vertices and its area
- Aug 25th 2012, 06:40 AMSorobanRe: Determining the vertices and its area
Hello, dwightlumanta321!

Quote:

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 arevertices,*consecutive*

. . there are two scenarios. .This is one of them.

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 arevertices, we have this diagram.*opposite*

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.