Question

consider cut outs of different sizes of squares . use method of superposition to find out the condition of congruence of square how does the idea of corresponding parts under congruence apply are there corresponding sides are there corresponding diagonals​

Answer 1

The idea of corresponding parts under congruence

• The method of superposition states that if two figures can be placed on top of each other so that they match exactly, then they are congruent. This can be applied to squares by placing two squares on top of each other and checking if all sides match in length. If all sides match in length, then the squares are congruent.

• The idea of corresponding parts under congruence applies to squares as well. For two congruent squares, there are corresponding sides and corresponding diagonals. This means that the sides and diagonals of the two squares are equal in length and in the same position relative to the center of the square.
• To check for the congruence of squares with different sizes, we can overlay one square on top of the other and check if all sides match in length, if it does this means the squares are congruent. We can also use the property of a square that opposite sides are equal and perpendicular to each other and if the diagonals are equal in length and bisect each other at 90 degrees. If all these properties hold true, then the two squares are congruent

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