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)
Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
s = ________feet
To plot these points on the grid, we need to draw the x and y axes and then plot the points accordingly:
The x and y axes intersect at the origin (0, 0). We can then plot point A (-7, 6), point B (-2, -6), point C (10, -1), and point D (5, 11) on the grid.
To find the side length of square ABCD using the Pythagorean theorem, we need to find the distance between two adjacent points.
Let's find the distance between points A and B first:
squared distance = (x2 - x1)^2 + (y2 - y1)^2
squared distance = (-2 - (-7))^2 + (-6 - 6)^2
squared distance = (5)^2 + (-12)^2
squared distance = 25 + 144
squared distance = 169
distance = √169
distance = 13
Now, let's find the distance between points B and C:
squared distance = (x2 - x1)^2 + (y2 - y1)^2
squared distance = (10 - (-2))^2 + (-1 - (-6))^2
squared distance = (12)^2 + (5)^2
squared distance = 144 + 25
squared distance = 169
distance = √169
distance = 13
Since the distances between opposite sides of a square are equal, the side length of square ABCD is 13 feet.
Therefore, s = 13 feet.