If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.ĪSA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal. SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent. SSS stands for "side, side, side" and means that we have two triangles with all three sides equal. There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL. But we don't have to know all three sides and all three angles. Two triangles are congruent if they have: exactly the same three sides and exactly the same three angles. They don't have to be on similar sized lines. They don't have to point in the same direction. Congruent? Why such a funny word that basically means "equal"? Maybe because they are only "equal" when placed on top of each other.
After any of those transformations (turn, flip or slide), and the shape still has the same size, area, angles and line lengths, then the shape is congruent to the other. If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent.
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