Two triangles are congruent if exactly the same three sides and three identical angles.
But you don't need to know all 3 sides and all 3 angles... usually, 3 out of 6 is enough.
There are five ways to test whether two triangles are congruent:
SSS, SAS, ASA, AAS, HL.
1. SSS (Side, Side, Side)
SSS stands for "Side, Side, Side" and means two triangles with all three sides the same.
2. SAS (Side, Angle, Side)
SAS stands for "sides, angles, sides", which means that there are two triangles that have two sides and are known to have equal included angles.
3. ASA (Angle, Side, Angle)
ASA stands for "Angle, Side, Angle" and means that there are two triangles whose two angles and included sides are known to be equal.
4. AAS (angle, angle, side)
AAS stands for "Angle, Angle, Side", which means that there are two triangles, and you know that the two angles and the sides that are not included are equal.
5. HL (hypotenuse, leg)
HL stands for "Hypotenuse, Leg", derived from calling the longest side of a right-angled triangle "Hypotenuse" and his remaining two sides "Legs".
This means that there are two right triangles with the same length as their hypotenuses.
It is the same length as one of the other two legs.
Since the triangle can be rotated, it doesn't matter which leg.
To learn more about the AAS congruence theorem visit: brainly.com/question/7380971
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