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The problem asks to "select the properties of all squares." Let's review each statement you selected to determine which ones are correct for a square:

1. **Exactly one diagonal is bisected by the other diagonal**: This is incorrect. In a square, *both* diagonals bisect each other.
   
2. **The diagonals are perpendicular**: This is correct. In a square, the diagonals meet at a 90-degree angle.

3. **Opposite angles are congruent**: This is correct. All angles in a square are 90 degrees, and opposite angles are congruent.

4. **All sides are congruent**: This is correct. A defining property of a square is that all sides are equal in length.

5. **Opposite sides are congruent**: This is correct. As all sides are equal, opposite sides are congruent.

6. **All angles are congruent**: This is correct. In a square, all four angles are 90 degrees.

7. **The diagonals are congruent**: This is correct. The diagonals in a square are equal in length.

8. **Opposite sides are parallel**: This is correct. Opposite sides of a square are parallel to each other.

9. **The diagonals bisect each other**: This is correct. In a square, the diagonals bisect each other at a 90-degree angle.

### Corrected Properties:
- The following options should be selected for all squares:
   - The diagonals are perpendicular.
   - Opposite angles are congruent.
   - All sides are congruent.
   - Opposite sides are congruent.
   - All angles are congruent.
   - The diagonals are congruent.
   - Opposite sides are parallel.
   - The diagonals bisect each other.

Would you like further details or explanations on any of these properties?

Here are 5 related questions to consider:
1. What is the difference between a square and a rectangle in terms of diagonals?
2. How do the properties of a square compare to those of a rhombus?
3. Are the diagonals of a square always equal to its side lengths?
4. What is the relationship between the diagonals and area of a square?
5. How does the concept of symmetry apply to squares?

**Tip**: A square can also be considered a rectangle, rhombus, and parallelogram, because it satisfies the properties of each of these quadrilaterals.

Select the properties of all squares. Select all that apply.

Explore the key properties of squares, including perpendicular diagonals, congruent sides and angles, and more. Learn the fundamental geometry concepts behind these quadrilaterals. Suitable for students in Grades 6-8.

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