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Congruent Figures and Triangles

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by

Jonathan Foo

on 19 May 2014

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Transcript of Congruent Figures and Triangles

Congruency
Definition
Congruent Figures
Two Figures are
congruent
if they have the
same shape and size
No matter how you move the figure from one position to another (translate it, rotate it and reflect it),
the shape and size do not change
Property 1 : Corresponding
angles
of congruent figures are equal
Property 2 : Corresponding
sides
of congruent figures are equal
After measuring
After measuring
Properties of Congruent figures
Example 1
Example 2
Translation
Rotation
Reflection
Congruent Triangles
Two Figures are
congruent
if they are identical in
Shape and Size
Conversely
Properties of Congruent Triangles
Lets look at the Proves for Congruent Triangles
Side Side Side (SSS)
Side Angle Side (SAS)
Angle Side Angle (ASA)
Angle Angle Side (AAS)
Side Angle Angle (SAA)/
Right Angle Hypotenuse Side (RHS)
Angle Side Side (ASS)
Side Side Angle (SSA)
Angle Angle Angle (AAA)
http://www.youtube.com/watch?v=D1TIwAECuAI&feature=related
http://www.youtube.com/watch?v=DWWwo4l_s9g&feature=related
http://www.youtube.com/watch?v=_L8u8io6n2A&feature=related
Side Side Side (SSS)
Side Angle Side (SAS)
Angle Side Angle (ASA)
Right Angle Hypotenuse Side (RHS)
Full transcript