Proving Triangles Congruent

Geometry

Ch 04

A BowerPoint Presentation

SSS (Side-Side-Side)

If AB XY & BC YZ & AC XZ

Then ABC XYZ

SSS (Side-Side-Side)

If AB XY & BC YZ & AC XZ

Then ABC XYZ

SSS (Side-Side-Side)

If AB XY & BC YZ & AC XZ

Then ABC XYZ

SSS (Side-Side-Side)

If AB XY & BC YZ & AC XZ

Then ABC XYZ

SSS (Side-Side-Side)

If AB XY & BC YZ & AC XZ

Then ABC XYZ

SAS (Side-Angle-Side)

If AB XY & A X & AC XZ

Then ABC XYZ

SAS (Side-Angle-Side)

If AB XY & A X & AC XZ

Then ABC XYZ

SAS (Side-Angle-Side)

If AB XY & A X & AC XZ

Then ABC XYZ

SAS (Side-Angle-Side)

If AB XY & A X & AC XZ

Then ABC XYZ

SAS (Side-Angle-Side)

The angles must be

included between

the two pairs of sides

ASA (Angle-Side-Angle)

If A X & AB XY & B Y

Then ABC XYZ

ASA (Angle-Side-Angle)

If A X & AB XY & B Y

Then ABC XYZ

ASA (Angle-Side-Angle)

If A X & AB XY & B Y

Then ABC XYZ

ASA (Angle-Side-Angle)

If A X & AB XY & B Y

Then ABC XYZ

ASA (Angle-Side-Angle)

The sides must be

included between

the two pairs of angles

AAS (Angle-Angle-Side)

If A X & B Y & AC XZ

Then ABC XYZ

AAS (Angle-Angle-Side)

If A X & B Y & AC XZ

Then ABC XYZ

AAS (Angle-Angle-Side)

If A X & B Y & AC XZ

Then ABC XYZ

AAS (Angle-Angle-Side)

If A X & B Y & AC XZ

Then ABC XYZ

AAS (Angle-Angle-Side)

The sides are not

included between

the two pairs of angles

Proving Triangles Congruent

• SSS– Side-Side-Side

• SAS– Side-Angle-Side

• ASA– Angle-Side-Angle

• AAS– Angle-Angle-Side