## Test of Congruence

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*If a specific part of one triangle are respectively congruent with the three corresponding parts of the other, then the remaining parts are also congruent with each other.*

## Test of Congruence of a triangles

**1) SSS test**

seg AB ≅ seg RS

seg AC ≅ seg RT

seg BC ≅ seg ST

∴ SSS Test ( Side, Side, Side test)

In ∆ ABC and ∆ RST

seg AB ≅ seg RS

mㄥABC ≅ mㄥ RST

seg BC ≅ seg ST

∴ SAS Test ( Side, Angle, Side test)

**3) ASA Test**

In ∆ ABC and ∆ RST

mㄥABC ≅ mㄥRST

seg BC ≅ seg ST

mㄥACB ≅ mㄥSTR

∴ ASA Test ( Angle, Side, Angle test)

**4)**

**SAA or AAS Test**

In ∆ ABC and ∆ RST

mㄥABC ≅ mㄥRST

mㄥACB ≅ mㄥSTR

seg AC ≅ seg RT

∴ SAA or AAS Test ( Side, Angle, Angle test)

**5) Hypotenouse side Test**

In ∆ LMN and ∆ PQR

mㄥM and mㄥQ are right angles

Hypt LN ≅ Hypt PR

∴ Hypotenouse side test

Difference between SAA Test and ASA Test is that in ASA Test the side will be in between two angles

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