A Math Forum Project

Geometry Forum - Problem of the Week
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    Daniel Chan

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    The following solution came from Daniel Chan, a Grade 10 student at 
Burnaby South Secondary School, Burnaby, BC.

a)  How many pairs of equal sides and angles do the two triangles have?
     The triangles have three pairs of equal angles and two pairs of equal sides.
b)  Are the two triangles congruent?  Explain.
     No, none of the conditions of congruence are satisfied. The pairs of
equal sides are not opposite the pairs of equal angles.

Extra:  Can you find two noncongruent triangles with six pairs of
equal sides and angles (with no side or angle paired more than 
once)?  Explain.

     It is not possible, because triangles with three pairs of equal sides
are congruent.
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30 June 1995