state which pair of triangle triangle in fig. 6.34 are similarity criterion used by you for answering the question and also write the pair of sin triangle in the symbolic form: IN 60 Ae 180 nol g 2 808
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1
Step-by-step explanation:
i )
In △ABC and △PQR
∠A=∠P,
∠B=∠Q,
∠C=∠R,
∴ By AAA criterion of similarity, △ABC∼△PQR
( ii )
In △ABC and △QRP
QR
AB
=
RP
BC
=
QP
AC
=
2
1
∴ By SSS criterion of similarity, △ABC∼△QRP
( iii )
In △LMP and △DEF
DE
LM
=
4
2.7
,
DF
LP
=
2
1
The sides are not in the equal ratios, Hence the two triangles are not similar.
( iv )
In △MNL and △QPR
∠M=∠Q,
QP
MN
=
QR
ML
=
2
1
∴ By SAS criterion of similarity, △MNL∼△QPR
( v )
In △ABC and △EFD
∠A=∠F,
FD
AB
=
FD
BC
=
2
1
∴ By SAS criterion of similarity, △ABC∼△EFD
( vi )
In △DEF and △PQR
Since, sum of angles of a triangle is 180
o
, Hence, ∠F=30
o
and ∠P=70
o
∠D=∠P,
∠E=∠Q,
∠F=∠R,
∴ By AAA criterion of similarity, △DEF∼△PQR
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