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AAA Criterion Of Similarity

SSS Criterion Of Similarity

SAS Criterion Of Similarity

CRITERIA OF SIMILARITY OF TWO

TRIANGLES

2 of 4

In ΔABC and ΔPQR,

∠B = ∠Q

∴ ΔABC ~ ΔPQR

∠C = ∠R

∠A = ∠P

Criterion Of Similarity

A

A

A

60^o

A

B

C

40^o

80^o

P

Q

R

40^o

80^o

60^o

?

?

∴ ΔABC ~ ΔPQR

40^o

40^o

80^o

80^o

60^o

60^o

3 of 4

A

B

C

In ΔABC and ΔPQR,

ΔABC ~ ΔPQR

SSS Criterion Of Similarity

∴

8 cm

4 cm

12 cm

6 cm

14 cm

7 cm

R

Q

P

AB

PQ

=

BC

QR

=

AC

PR

AB

PQ

=

8

4

=

2

1

BC

QR

=

12

6

=

2

1

AC

PR

=

14

7

=

2

1

4 of 4

A

B

C

In ΔABC and ΔPQR,

∠B = ∠Q

∴ ΔABC ~ ΔPQR

Criterion Of Similarity

8 cm

4 cm

12 cm

6 cm

R

Q

P

S

A

S

INCLUDED ANGLE

AB

PQ

=

8

4

BC

QR

=

12

6

AB

PQ

=

BC

QR

=

2

1

=

2

1