How to prove 2 triangles congruent in class nine
Answers
Answer:
Two triangles are congruent if they have: exactly the same three sides and. exactly the same three angles.
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There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
SSS (side, side, side) ...
SAS (side, angle, side) ...
ASA (angle, side, angle) ...
AAS (angle, angle, side) ...
HL (hypotenuse, leg)
Answer: There are five ways to find if two triangles are congruent: SSS, SAS, ASA, AAS and HL.
1. SSS (side, side, side)
SSS stands for "side, side, side" and means that we have two triangles with all three sides equal.
2. 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.
3. 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.
4. 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.
5. HL (hypotenuse, leg)
This one applies only to right angled-triangles!
triangle HL or triangle HL
HL stands for "Hypotenuse, Leg" (the longest side of a right-angled triangle is called the "hypotenuse", the other two sides are called "legs")
It means we have two right-angled triangles with the same length of hypotenuse and
the same length for one of the other two legs.
It doesn't matter which leg since the triangles could be rotated.
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