SOLUTION: we are working on congruent triangles! I really dont understand it so could you show me an quick example or 2

Algebra ->  Triangles -> SOLUTION: we are working on congruent triangles! I really dont understand it so could you show me an quick example or 2      Log On


   



Question 70486: we are working on congruent triangles! I really dont understand it so could you show me an quick example or 2
Answer by venugopalramana(3286) About Me  (Show Source):
You can put this solution on YOUR website!
we are working on congruent triangles! I really dont understand it so could you show me an quick example or 2
TWO TRIANGLES (OR FOR THAT MATTER ANY 2 POLYGONS OR FIGURES)ARE SAID TO BE CONGRUENT OR IDENTICAL IF,
1.ONE TRIANGLE IS KEPT ON ANOTHER TRIANGLE SO THAT ONE OF THEIR VERTICES COINCIDE,ONE SIDE ADJOINING THAT VERTEX FALLS ALONG SIMILAR SIDE OF THE SECOND TRIANGLE AND THE 2 TRIANGLES LIE ON THE SAME DIRECTION OF THAT SIDE
2.AND THEN WE FIND THAT
3.THE OTHER 2 VERTICES OF BOTH TRIANGLES ALSO COINCIDE .
IN GENERAL FOR ANY PAIR OF POLYGON WHEN KEPT ONE OVER THE OTHER AS DESCRIBED ABOVE THEN ALL OTHER VERTICES SHALL ALSO COINCIDE.
OBVIOUSLY THE REQUIRED CONDITION FOR THIS IS THAT THE RESPECTIVE SIDES AND ANGLES IN THE 2 POLYGONS SHOULD BE EQUAL.
HOWEVER IN CASE OF TRIANGLES IF THE RESPECTIVE SIDES ARE EQUAL THEN THE RESPECTIVE ANGLES WILL ALSO BE AUMATICALLY EQUAL.
YOU CAN TRY PUTTING YOUR PALM OF ONE HAND ON THE OTHER AND SEE THAT THEY ARE (ALMOST) IDENTICAL OR CONGRUENT.
SAME WITH 2 NOTE BOOKS OR PLATES ETC CAN BE TRIED