Monday, March 25, 2013

If two triangles are similar, does that mean they are congruent too?

  Two triangles are similar  and two triangles are
congruent do not mean the same thing.


Two photos of the
same object may look similar though their sizes are
different.


Two photos of the same object are congruent if
their sizees are same .


If two triables are similar if
their for each angle of the one there is an equal angle in the other triangle. This
reltion holds incase of cogruency also.


If two triangles
are similar, then the correspoding sides (corresponding side implies side opposite to
the equal angles in two triangles)  has the same ratio.


Or
if ABC and A'B'C' are two similar triangles, then  angles, A=A', B = B' and C = C' .The
ratio of corresponding sides, AB/A'B' = BC/B'C' =
CA/C'A'.


If  the two triangles are congruent AB/B'C' =
BC/B'C' = CA/C'A' = 1. In other words, AB = A'B' , BC = B'C' and CA = C'A'.But in case
of sim'lar triangles , this side equality ratio is not
necessary.


All congruent triangles are similar. Allsimilar
triangles are not congruent.


Congruent triangles are a
special subset class of triangle.

No comments:

Post a Comment

Comment on the setting and character of "The Fall of the House of Usher."How does setting act as a character?

Excellent observation, as it identifies how the settings of Poe's stories reflect the characters of their protagonists. Whet...