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) (Show Source):
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If the pupils are drawing two angles of the same size and one side of the same length, it is that they would draw congruent triangles although it 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
Lets say one draws angle degrees and angle degrees and line This would qualify for and congruent but only if both draw the angles and lines the .
If one drew and the other drew they would be congruent.
The other is if they both draw the same size side between the two anglea which were in the same position:
for example angle angle and