Question

Give any two real-life examples of congruent shapes.

Answer 1

Hint: To find the real-life examples for congruent shapes first we should know what does congruent means and its geometrical aspects. Congruent shapes can be said as identical shapes in terms of sides and angles. Two bricks and two playing dice are always congruent to each other.

Complete step-by-step answer:
Now first we will understand the meaning of the word congruent.
Just take a look at the below figure:

In the above figure, two arrow signs of the same size are shown and when we place one after another, then each one overlaps another one and when we see it from the top then it seems to be like that only one single arrow is there. But actually, there are two.
We can understand the reason behind this easily by understanding the meaning of congruency. In geometry, we define two objects or figures that are congruent. Then the following two criteria are to be satisfied:
1. Same shape
2. Same size
To visualize this just take any object in your hand and stand in front of the plane mirror, then the image of the object will be congruent to the primary object as both the criteria are satisfied.
For better understanding, just take two bricks that are used for construction, all the bricks are identical in shape and the angles subtended by them are equal for every edge.
Now, if someone wants to draw the congruent shape of any object. Then one can just take a butter paper and place it over any shape and trace the outer trajectory of the shape. Then the sketch developed on the butter paper will be congruent to the shape of the object over which we placed the butter paper.
As we have now understood the meaning of the word congruent, we can find the real-life examples of the congruent shapes.
First example:
Take two bricks and see if they are congruent or not. To test, rest one brick on top of another and align the edges such that when viewed from the top the two bricks appear as only one. Then we will find that when we will place one in front of another then one overlaps the other completely. This is because both have congruent shapes, or we can say that both are congruent to each other. For clarity just take a look at the figure below which shows the trajectory of the brick’s surface.

Second example:
Two cubical dice of the same size. When we place one after another, then you will find that they overlap each other completely. Here also the reason is congruence and we can say that both have congruent shapes with respect to each other. For more clarity take a look at the below figure:

Note:One important point to be remembered while applying the concept of congruence is that it is a relative phenomenon always. We always mention this while we are using it that figure A is congruent with respect to figure B. In mathematics we use the concept of congruent triangles and which can make the problem very easy to solve.