Congruence is a geometrical term in which two figures are congruent if they have the same shape and size or are the mirror image of the other. In RD Sharma Solutions for Class 7 Maths Chapter 16 congruence, students can study all the concepts related to it. Firstly, a congruent figure is nothing but a figure having the same shape and area (size), but it is allowed to flip, slide or turn. Furthermore, angles are congruent, and side lengths are equal in the congruent figures.
Next, for line segments, congruent means equal. So, for example, one can say that the length of the line BC equals the length of the line XY, but in geometry, the appropriate way to denote that is by saying line segments BC and XY are congruent or BC is congruent to XY. To talk about the congruence of two angles, we can say that they are congruent when the two angles measure equal in degrees of radians. This is because the orientation can be in any position, but the measurement needs to remain constant. Likewise, two squares are considered to be congruent if both of them have the same edges, whereas two rectangles are congruent if both of the opposite sides are equal.
Similarly, two circles are considered congruent if they have the same radius or diameter, or circumference. Similarly, triangles are congruent if they follow certain congruence conditions, also known as the congruence criterion. Again, it does not matter even if the triangles are flipped, rotated, and turned. Thus, congruence can be denoted as ≅. Finally, after discussing all this, Sufficient conditions for the congruence of two triangles are taught to the students. In that, they will learn the following congruence criterion: