How will you introduce the concept of congruency of plane figure in the class?
Answers
Step-by-step explanation:
Suppose you've found the poster that's just the right size for your bedroom wall – not too narrow, not too wide. In fact, you like it so much you think you want one the same exact size for your living room. A math person might say you're looking for a poster that's congruent to the one you already have.
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other. Two plane figures are congruent implies that their corresponding characteristics are "congruent" or "equal" including not just their corresponding sides and angles, but also their corresponding diagonals, perimeters and areas.
Congruence of Plane Figures
If two objects are of exactly the same shape and size, they are said to be congruent. The relation between two congruent objects being congruent is called congruence.
The method of superposition examines the congruence of plane figures, line segments and angles.
Two plane figures are congruent if each, when superimposed on the other, covers it exactly.
Congruence is denoted by the symbol ‘≅’.
e.g. Two plane figures, say, P1 and P2, are congruent if the trace copy of P1 fits exactly on that of P2, we write P1 ≅ P2.
If two line segments have the same or equal length, they are congruent. Also, if two line segments are congruent, then they have the same length.
If two angles have the same measure, they are congruent. Also, if two angles are congruent, their measures are the same. If two angles are congruent, then the lengths of their arms do not matter.
Two circles of equal radii are congruent.
Two squares of equal sides are congruent.
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