SOLUTION: Two pupils each drew a triangle with one side of 5cm, one angle of 20 degrees and one angle of 60 degrees. Must their triangles be congruent?

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Question 460234: Two pupils each drew a triangle with one side of 5cm, one angle of 20 degrees and one angle of 60 degrees. Must their triangles be congruent?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If the pupils are drawing two angles of the same size and one side of the same length, it is not+sure that they would draw congruent triangles although it would be possible.
why?
There are two positions of these elements of triangles for them to be considered congruent
ASA angle, side angle and
AAS angle angle side
Say triangle ABC
Lets say one draws angle A+=20 degrees and angle B=+60 degrees and line AC+=+5cm This would qualify for AAS and congruent but only if both draw the angles and lines in+the same+positions.

If one drew AC+=+5cm and the other drew BC+=+5cm they would not+be congruent.
The other ASA is if they both draw the same size side between the two anglea which were in the same position:
for example angle A+=+20 angle B+=+60 and AB+=+5cm