Test For Congruent Triangles

Test 1

3 cm

4 cm

3 cm

Given three sides : SSS

Two triangles are congruent if the three sides of one triangle are equal to the three matching sides of the other triangles (SSS)

AB PQ S

AC PR S

BC QR S

ABC PQR SSS

C

4 cm

3 cm

3 cm

R

Q

P

B

A

7cm

6cm 30⁰

A

B

C

Test 2

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 )

6cm

7cm

30⁰P

Q

R

Given two sides and the included angle : SAS

AB PR S

ABC RPQ A

BC PQ S

ABC PQR SAS

Test 3

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 )

5cm

30⁰P

Q

R

Given two angles and a side : AAS

B

5cm

30⁰A

C

70⁰

70⁰

ABC RPQ A

ACB PQR A

BC PQ S

ABC PQR AAS

3cm5cm

CB

A

Test 4

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 )

Given a right angle, hypotenuse and side : RHS

ABC PQR R

AC PR H

AB PR S

ABC PQR RHS

3cm

5cm

Q

P

R