Question

IN THE FOLLOWING FIGURE ,DE=IH ,EG=FI,ANGLE E =ANGLEI. proove that two triangles are congruent and state the criteria

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Answer 1

Answer:

In triangle HIG and DEF,

Given,  

HI=DE

∠E=∠I

EF=IG

∴IF=EG

∴IF+GF=EG+GF

⇒IG=EF

∴△HIG≅△DEF  

SAS criterion

Hope it helps :D