Question on Similar Triangles

Topic : Similar Triangles

Question : Define and Mention the Properties of Similar Triangles

Solution :
Triangles are similar if they have the same shape, but can be different sizes.
Properties of Similar Triangles
1. Corresponding angles are the same
So in the figure above, the angle P=P', Q=Q', and R=R'.
2. Corresponding sides are all in the same proportion
Above, PQ is twice the length of P'Q'. Therefore, the other pairs of sides are also in that proportion. PR is twice P'R' and RQ is twice R'Q'.
Formally, in two similar triangles PQR and P'Q'R' :
PQ / P’Q’ = QR / Q’R’ = RP / R’P’