a) ΔABC ≅ ΔEFD by the AAS (Angle-angle-side) theorem
b) Not necessarily congruent
c) ΔGHI ≅ KLJ by the SSS (side-side-side) theorem
Step-by-step explanation:
a) ∠B = ∠F
∠A = ∠E
∠C = ∠D
Hence, triangle ABC is congruent to triangle EFD
ΔABC ≅ ΔEFD by the AAS (Angle-angle-side) theorem
b) ∠W = ∠X
∠U = ∠Z
∠V = ∠Y
But UW is not equal to XZ, UW is XZ.
Not necessarily congruent
c) GH ≅ KL
GI ≅ JK
HI ≅ JL
Hence, triangle GHI is congruent to triangle KLJ
ΔGHI ≅ KLJ by the SSS (side-side-side) theorem