Question

3.
Among "Circles", "Squares" and "Triangles", which are always similar?

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Answer 1

Answer:

Squares are generally similar because there is not a perfect idea of its size.

Answer 2

Circles, and Squares are always Similar.

1. When are two objects said to be similar?

• Two objects are similar if they are of the same shape
• Ratio of corresponding sides is equal.
• One of the object should be formed when the other is diminished or enlarged.
• Corresponding Internal angles must be equal.

Circles

• Circles are defined by their radii.
• Since, There is only one defining element for circle.
• All circles are similar.
• Any circle can be obtained by enlarging or diminishing a given circle.

Squares

• Squares have four sides and all the angles are 90°.
• For any square, since the angles are 90°, They all have a same shape.
• Any square can be obtained by enlarging or diminishing a given square.

Triangles :

1. There are 3 angles and 3 sides. Since the angles can have different values.
2. There can be different triangles with different shapes.
3. Hence, All triangles are not similar.
4. But two equilateral triangles are similar because of equal lengths of sides , equal angles