Two triangles are congruent if they have:
Exactly the same three side and
Exactly the same three angles.
But we don’t have to know all three sides and all three angles
……..usually three out of six is enough
There are four ways to find if two triangles are congruent:
SSS,
SAS,
ASA and AAS
- SSS (side, side, side)
SSS stands for “side, side, side” and means that we have two triangles with all three sides equal.
If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
- SAS (side, angle, side)
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 two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
- ASA (angle, side, angle)
ASA stands for “angle, side, angle” and means that we have two triangles where we know two angles and the included side are equal.
If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- AAS (angle, angle, side)
AAS stands for “angle, angle, side” and means that we have two triangles where we know two angles and the non-included side are equal.
If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
