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a) Condition-1-All corresponding angles of quadrilateral ABCD are equal to
corresponding angles of PQRS quadrilateral are equal

b) Condition-2- AP, BQ, C R, DS ,

so corresponding sides are ABPQ, BCQR, CDRS, DASP

Ratio of corresponding sides are

AB:PQ=1.5:3=1:2,

BC:QR=2.5:5=1:2,

CD:RS=2.4:4.8=1:2,

DA:SP=2.1:4.2=1:2

As ratios of corresponding sides are same and equiangular so these above two
quadrilaterals are similar.

*Similar Triangles:

Two triangles are said to be similar, if

(i)all the corresponding angles are equal

(ii)all the corresponding sides are in the same ratio(or proportion)

AB AC BC
i.e. in  ABC and  DEF, if A   D  B   E  C   F and  
,
,
DE DF EF

then  ABC and  DEF are similar. Symbolically  ABC ~  DEF

Conversely if  ABC and  DEF are similar, then

AB AC BC
 A   D  B   E  C   F and  
,
,
DE DF EF
BASIC PROPORTIONALITY THEOREM(BPT)

THEOREM-6.1

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