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TRIANGLES 121<br />

From the above, you can easily say that quadrilaterals ABCD and PQRS of<br />

Fig. 6.5 are similar.<br />

Fig. 6.5<br />

Remark : You can verify that if one polygon is similar to another polygon and this<br />

second polygon is similar to a third polygon, then the first polygon is similar to the third<br />

polygon.<br />

You may note that in the two quadrilaterals (a square and a rectangle) of<br />

Fig. 6.6, corresponding angles are equal, but their corresponding sides are not in the<br />

same ratio.<br />

Fig. 6.6<br />

So, the two quadrilaterals are not similar. Similarly, you may note that in the two<br />

quadrilaterals (a square and a rhombus) of Fig. 6.7, corresponding sides are in the<br />

same ratio, but their corresponding angles are not equal. Again, the two polygons<br />

(quadrilaterals) are not similar.

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