Proving Triangles Congruent
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Transcript of Proving Triangles Congruent
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