Use congruent triangles to solve problems and to provide proofs
Two shapes are congruent if they are completely the same. Their orientation or position can be different (in other words, they can be rotated, or moved around a grid), but all of their angles must be the same size, and sides the same length.
If any of these apply to two triangles, then we can prove that they are congruent:
SSS  Side Side Side  All 3 sides in both triangles are the same
SAS  Side Angle Side  2 sides and the angle between them, are the same
AAS  Angle Angle Side  2 angles are the same, and the same side in both traingles are the same
RHS  Rightangle Hypotenuse Side  In a right angle triangle, the hypotenuse and another side is the same
It is possible to use knowledge that two shapes are congruent to solve geometric problems.
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