Question

Madhavi said all square are similar do you agree with the statement? justify

Answer 1

Answer:

in similar triangles corresponding angles are equal. The corresponding sides may or may not be equal. But, the ratios of the corresponding parts of one object will be equal to that of the other objects. Now,all squares are always similar.

Answer 2

The statement that "all squares are similar" is true.

• Two geometric figures are called similar if their angle measures are the same, their shape is the same, and the ratio of the length of their sides is also the same but the length of their sides can be different.
• Let, ABCD and PQRS are two squares having the lengths of 5cm and 15 cm respectively.
• Now, observe the ratios  $\frac{AB}{PQ}=\frac{BC}{QR}= \frac{CD}{RS}=\frac{DA}{SP}=\frac{5}{15} =3$  are the same.
• So, it is obvious that for all two squares the ratios of the length of their sides will be always the same. So, all squares are similar.

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