Determine which postulate or theorem can be used to prove the pair of triangle congruent. If it is not possible to prove them congruent, select not possible.

a. SAS
b. SSS
c. AAS
d. not possible

Question

Determine which postulate or theorem can be used to prove the pair of triangle congruent. If it is not possible to prove them congruent, select not possible.

	 a. SAS	
	 b. SSS	
	 c. AAS	
	 d. not possible

anonymous · Answer

attachment

anonymous · Answer

answer is A: SAS

hartnn · Answer

how many sides are equal and how many angles are equal ?

anonymous · Answer

i think the two long sides are equal and the two short sides?

hartnn · Answer

2 short sides equal<---correct
2 long sides , which ?
central or the pair at the ends ?

anonymous · Answer

pair at the ends

hartnn · Answer

actually they are NOT given to be congruent.
but central side is common to both triangles, hence equal for both triangles....
make sense ?

anonymous · Answer

yes

hartnn · Answer

now 2 pairs of sides equal -----> SS
you need one more information,
can u find any given information useful ....? either for sides or angles ?

anonymous · Answer

ummmm

hartnn · Answer

see the diagram, the angles are also given congruent, right ?

anonymous · Answer

yes

hartnn · Answer

so that would be A
u already had SS
that becomes 
SAS
makes sense ?

anonymous · Answer

yes

hartnn · Answer

that is why it is SAS postulate. option a.

anonymous · Answer

ok :)