SOLUTION: Amy says: I have drawn a triangle. It has one angle of 70o and another angle of 50o. Ben, you draw a triangle with the same two properties. Ben says: My triangle will be congrue

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Question 1131872: Amy says: I have drawn a triangle.
It has one angle of 70o and another angle of 50o.
Ben, you draw a triangle with the same two properties.
Ben says: My triangle will be congruent to yours, because all triangles that have those two properties must be congruent.

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
I have drawn a triangle.
It has one angle of 70° and another angle of 50° .
Ben, you draw a triangle with the same two properties.
Ben says: My triangle will be congruent to yours, because all triangles that have those two properties must be congruent.
if two angles are same, third angle must be also same (the sum is 180° )
so, third angle is 60°
all we know is that all three angles are congruent, but we donn't know about sides length
that means the corresponding sides might be equal in length or corresponding sides are in the same ratio
and we can say for sure that two triangles are similar because they have all their angles equal
however, we cannot prove that two triangles are congruent