Question

application of the properties of similar triangle

Answer 1

i) Corresponding angles are equal and 
ii) Corresponding sides are proportional.



According to the figure.
ΔABC and ΔPQR are similar,
Since ∠ A = ∠P

∠B = ∠Q

∠C = ∠R

The symbol for “similar triangle is ~. 

Thus ΔABC ~ ΔPQR

So corresponding sides are in proportion.

     AB       BC           AC 
   ----- = ------- = ------
     PQ       QR           PR
Note : 1) Similar triangles are equiangular.
2) In similar triangles corresponding sides are proportional.
3) Congruent triangles are similar, but the converse is not always true.
4) Triangles similar to the same triangle are similar to each other.
5) Similar figures have the same shape, but not necessarily the same size.