Test For Congruent Triangles

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Transcript Test For Congruent Triangles

Given three sides : SSS
A
P
3 cm
Q
3 cm
3 cm
3 cm
4 cm
B
4 cm
C
 ABC  PQR
R
Two triangles are congruent if the tree sides of one
triangle are equal to the three matching sides of the
other triangles (SSS)
Given two sides and the included angle : SAS
B
6cm
30⁰
P
7cm
A
7cm
30⁰
Q
6cm
C
 ABC  PQR
R
Two triangles are congruent if two sides and the included
angle of one triangle are equal two the matching two sides
and the included angle of the other triangle ( SAS )
Given two angles and a side : AAS
30⁰
P
5cm
30⁰
70⁰
Q
5cm
70⁰
 ABC  PQR
R
Two triangles are congruent if two angles and a side
of one triangle are equal the two matching angles and
the matching side of the other triangle ( AAS )
Given a right angle, hypotenuse and side : RHS
A
3cm
B
P
3cm
Q
5cm
5cm
C
 ABC  PQR
R
Two right angled triangles are congruent if the
hypotenuse and one side of
are equal to the
hypotenuse and one side of the other triangle ( RHS )