Question

What are congruent circles?

Answer 1

Hint: Questions like these are quite simple to understand and are easy to solve once we understand the key concepts required for solving these types of problems. For such types of problems, we need to have a fair amount of ideas of similarity, congruence and to some extent, coordinate geometry. To find the answer to this question, first of all we need to understand a term, congruency. In geometry and coordinate geometry, two structures or objects are said to be congruent, if they have the same shape and size. In other words we can also say that if two figures are congruent to one another, then they have to be the mirror images of one another.

Complete step by step solution:
Now we start off with the solution to the given problem by saying that, let us consider the two circles as the two objects in this problem. Now, for two circles to be congruent to one another, they have to be of the same shape and of the same size. Two circles are of the same shape because they are both circles. Now to be of the same size, the two circles need to have the same radii. So from this we can conclude that, for two circles to be congruent, they have to have the same radius ‘r’. Both the circles can superimpose on one another.

Note: For such problems we need to have a clear cut idea of geometry and coordinate geometry. Circles having the same radii are said to be congruent of one another. When two circles are congruent, we can also say that they have the same area and circumference. Thus they can also be said to be equal circles. When we are given two circles, then we may skip for the check for shape as they have to be the same.For such problems we need to have a clear cut idea of geometry and coordinate geometry. Circles having the same radii are said to be congruent of one another. When two circles are congruent, we can also say that they have the same area and circumference. Thus they can also be said to be equal circles. When we are given two circles, then we may skip for the check for shape as they have to be the same.