Transcript Test For Congruent Triangles

Test For Congruent Triangles
Test 1
Given three sides : SSS
A
AB  PQ  S 
AC  PR  S 
3 cm
3 cm
B
4 cm
C
BC  QR  S 
P
3 cm
Q
 ABC  PQR  SSS 
3 cm
4 cm
R
Two triangles are congruent if the three sides of one
triangle are equal to the three matching sides of the
other triangles (SSS)
Test 2
Given two sides and the included angle : SAS
B
6cm
30⁰
7cm
A
AB  PR  S 
ABC  RPQ  A 
P
BC  PQ  S 
 ABC  PQR  SAS 
7cm
30⁰
Q
6cm
R
C
Two triangles are congruent if two sides and the included angle
of one triangle are equal to the matching two sides and the
included angle of the other triangle ( SAS )
Test 3
Given two angles and a side : AAS
30⁰
5cm
70⁰
ABC  RPQ  A
P
ACB  PQR  A
5cm
30⁰
70⁰
Q
BC  PQ  S 
 ABC  PQR  AAS 
R
Two triangles are congruent if two angles and a side of one
triangle are equal to the two matching angles and the matching
side of the other triangle ( AAS )
Test 4
Given a right angle, hypotenuse and side : RHS
A
3cm
ABC  PQR  R 
AC  PR  H 
5cm
P
3cm
Q
AB  PR  S 
5cm
 ABC  PQR  RHS 
B
C
R
Two right angled triangles are congruent if the
hypotenuse and one side of triangle are equal to the
hypotenuse and one side of the other triangle ( RHS )