Explanation
The distance between points (x₁, y₁) and (x₂, y₂), is given by the formula:
[tex]d_{12}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.[/tex]
We have the points:
• A = (0, 6),
,
• B = (6, 6),
,
• C = (6, 0),
,
• D = (0, 0).
1) Using the formula above with:
• A = (x₁, y₁) = (0, 6),
,
• B = (x₂, y₂) = (6, 6).
We get:
[tex]AB=6.[/tex]
2) Using the formula above with:
• B = (x₁, y₁) = (6, 6),
,
• C = (x₂, y₂) = (6, 0).
We get:
[tex]BC=6.[/tex]
3) Using the formula above with:
• C = (x₁, y₁) = (6, 0),
,
• D = (x₂, y₂) = (0, 0).
We get:
[tex]CD=6.[/tex]
4) Using the formula above with:
• D = (x₁, y₁) = (0, 0),
,
• A = (x₂, y₂) = (0, 6).
We get:
[tex]DA=6.[/tex]Answer
• AB = 6
,
• BC = 6
,
• CD = 6
,
• DA = 6
Since ABCD has four right angles and four straight sides, it is a square.
