All squares are

Options

A. congurent
B. similar
C. no similar and no congurent
D. none of these

Answer

To solve the question "All squares are", we need to analyze the properties of squares and determine the correct relationship among them based on the given options.

### Step-by-Step Solution:

1. **Understanding Squares**:
- A square is a quadrilateral with all four sides equal in length and all angles equal to 90 degrees.

2. **Properties of Squares**:
- Since all sides of a square are equal, if we have two squares, let’s say square A (with side length 'a') and square B (with side length 'b'), we can express their sides as:
- Square A: AB = a, BC = a, CD = a, DA = a
- Square B: PQ = b, QR = b, RS = b, SP = b

3. **Ratio of Sides**:
- The ratio of the sides of the squares can be expressed as:
- \( \frac{AB}{PQ} = \frac{a}{b} \)
- \( \frac{BC}{QR} = \frac{a}{b} \)
- \( \frac{CD}{RS} = \frac{a}{b} \)
- \( \frac{DA}{SP} = \frac{a}{b} \)
- Since all these ratios are equal, we can conclude that the ratios of the corresponding sides of the squares are constant.

4. **Conclusion on Similarity**:
- Because the ratios of the corresponding sides of the squares are constant, we can say that the two squares are similar.
- In geometry, two figures are similar if their corresponding angles are equal and the lengths of corresponding sides are proportional.

5. **Final Answer**:
- Therefore, we conclude that "All squares are similar".