If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
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side- angle- side
SSS- side side side SAS- side angle side ASA- angle side angle There is also: AAS- angle angle side For right triangles: HL- hypotenuse leg
The 5 ways to prove that two triangles are congruent are to find equal: 1) side-side-side 2) side-angle-side 3) angle-side-angle 4) angle-angle-angle 5) hypotenuse-leg
You need SAS (side angle side), SSS (side side side), ASA (angle side angle), AAS (angle angle side) or CPCTC (corresponding parts of congruent angles are congruent)
To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.