TRIANGLES 121
From the above, you can easily say that quadrilaterals ABCD and PQRS of
Fig. 6.5 are similar.
Fig. 6.5Remark : You can verify that if one polygon is similar to another polygon and this
second polygon is similar to a third polygon, then the first polygon is similar to the third
polygon.
You may note that in the two quadrilaterals (a square and a rectangle) of
Fig. 6.6, corresponding angles are equal, but their corresponding sides are not in the
same ratio.
Fig. 6.6So, the two quadrilaterals are not similar. Similarly, you may note that in the two
quadrilaterals (a square and a rhombus) of Fig. 6.7, corresponding sides are in the
same ratio, but their corresponding angles are not equal. Again, the two polygons
(quadrilaterals) are not similar.