A square garden has the end points listed below. Plot and label these points on
the grid:
a. A (-7, 6)
b. B (-2, -6)
c. C (10, -1)
d. D (5, 11)
2. Connect the points to create Square ABCD.
3. Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
s = ________feet
Here is the grid with the labeled points A, B, C, and D:
```
| 10
---------
|
---------
|
---------
-7 |
```
And here is the square ABCD created by connecting the points:
```
| 10
---------
| A
---------
| / |
---------
B |/ |
---------
-7 | C
```
To find the side length of the square, we can use the Pythagorean Theorem. We can find the distance between two points by using the formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Let's find the distance between points A and B:
dAB = √((-2 - (-7))^2 + (-6 - 6)^2)
= √(5^2 + (-12)^2)
= √(25 + 144)
= √169
= 13
So the side length of the square ABCD is 13 feet.