Given that ABCD is a square, several properties and relationships can be derived:

1. **All sides are equal:** Each side of the square (AB, BC, CD, DA) has the same length.
  
2. **All angles are right angles:** Each internal angle in the square is \(90^\circ\).
  
3. **Diagonals are equal:** The diagonals \(AC\) and \(BD\) are equal in length, and they bisect each other at right angles.

4. **Diagonals are \( \sqrt{2} \times \) the length of a side:** Each diagonal is longer than the side by a factor of \( \sqrt{2} \). If the side of the square is of length \(s\), the length of each diagonal will be \( s\sqrt{2} \).

5. **Symmetry:** The square is symmetric along both its diagonals and its axes of symmetry (the lines joining the midpoints of opposite sides).

Would you like to explore any specific property or relationship about the square ABCD?

### Here are 5 questions you might find interesting:

1. What is the length of the diagonal of square ABCD if the side length is given?
2. How do you calculate the area of square ABCD?
3. What is the perimeter of square ABCD?
4. Can you prove that the diagonals of square ABCD bisect each other at right angles?
5. What is the relationship between the area of square ABCD and the area of a circle inscribed within it?

**Tip:** When dealing with squares, remember that the diagonal not only divides the square into two equal right-angled triangles but also serves as the hypotenuse for both.

Explore the properties of square ABCD, including equal sides, right angles, equal diagonals, and symmetry. Learn how to calculate diagonal length, area, and perimeter of square ABCD. Suitable for Grades 7-9.

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