Question

The things which coincide with one another are:
(a) Equal to each other
(b) Unequal
(c) Double of same thing
(d) Triple of same thing

Answer 1

Hint: We solve this problem by considering any one shape and try to measure things which will coincide so that we get the required answer. Since, we can consider any shape which we feel easy to calculate the measures of the shape to get an answer easily.

Complete step-by-step answer:
We are given to compare the two things that coincide with one another.
Let us consider a line segment having the length of 5cm.
We are given that the two line segments coincide with each other.
Let us draw the two line segments separately as follows

Here, let us assume that the length of AB is 5cm.
We know that the two line segments AB and CD coincide with each other.
So, we can write
\[\Rightarrow AB=CD=5cm\]
Therefore, we can say that the two figures which coincide with each other are equal to each other.

So, the correct answer is “Option A”.

Note: We can explain this question in another way also by using the congruence statement.
We know that the definition of congruency states that when the two similar figures coincide with each other then we can say that those two figures are congruent to each other and have the same dimensions and orientation to each other.
We are given that two figures coincide with each other. So, we can say that those two figures are congruent to each other and have the same dimensions and orientation.
Therefore, we can conclude that when two figures coincide then they are equal to each other.
So, option (a) is the correct answer.