if we have two pairs of corresponding angles equal then can we say that two triangles are similar?

Asked by Madiha Batool | 12th Feb, 2014, 09:10: PM

Expert Answer:

Dear Student,
Yes we can say because,
 

Two triangles are similar if they have:

  • all their angles equal
  • corresponding sides are in the same ratio

But we don't have to know all three sides and all three angles ...two or three out of the six is enough.

 
There are three ways to find if two triangles are similar: AASAS and SSS:
AA stands for "angle, angle" and means that the triangles have two of their angles equal.
So AA could also be called AAA (because when two angles are equal, all three angles must be equal).
 

SAS stands for "side, angle, side" and means that we have two triangles where:

  • the ratio between two sides is the same as the ratio between another two sides
  • and we we also know the included angles are equal

SSS stands for "side, side, side" and means that we have two triangles with all three pairs of corresponding sides in the same ratio.
 
 
Thanka and Regards
Toppers Team

Answered by  | 13th Feb, 2014, 11:21: AM

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