To check: Whether two squares are always, sometimes or never similar.
Answer to Problem 5WE
Two squares are always similar.
Explanation of Solution
Given information: Two
Two polygons are said to be similar if the following conditions are satisfied:
- Corresponding sides of the polygons are proportional.
- Corresponding
angles of the polygons are equal.
Consider squares ABCD and PQRS.
As ABCD and PQRS are squares and sides of squares are equal,
So,
That is
Condition 1 is satisfied.
Now check condition 2.
As each angle of the square is equal to
So, condition 2 is also satisfied.
Hence, it can be concluded that two squares are always similar.
Chapter 7 Solutions
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