THIS USER ASKED 👇
Which postulate or theorem proves that these two triangles are congruent? SAS Congruence Postulate ASA Congruence Postulate HL Congruence Theorem AAS Congruence Theorem Segment M P with point N between M and P intersects segment R Q with point N between R and Q, at point N. Segments join points M and R, as well as points Q and P, to form a bow-tie shape. Angles M and P are labeled with a single arc. Segments R N and N Q are labeled with a single tick mark.
THIS IS THE BEST ANSWER 👇
AAS Conversion Theorem
Step by step explanation:
In the picture given, we gave two triangles ΔFGJ and ΔHJG with one common edge ie GJ
Now, we have in the triangles given ΔFGJ and ΔHJG
∠F = ∠H [given]
and ∠FGJ = ∠HJG [given]
Also, GJ = GJ [Reflexive property]
Thus, with AAS Conversion Theorem,
ΔFGJ ≅ ΔHJG
The AAS Conversion Theorem states that if any two angles and one side triangle are appropriate for any two angles and for the sides of another triangle, then these two triangles are appropriate.