Answer:
Reason 2 : Vertical opposite angles.
Reason 3 : Vertical opposite angles.
Reason 4 : Using statement 1 and 3.
Reason 5 : Using statement 1 and 2.
Reason 6 : AA property of similarity.
Step-by-step explanation:
Statement 1 : and .
Reason 1 : Given
Statement 2 :
Reason 2 : Vertical opposite angles.
Statement 3 : [tex]\angle GEF\cong \angle DEC[/tex]
Reason 3 : Vertical opposite angles.
Statement 4 : [tex]\angle ABC\cong \angle GEF[/tex]
Reason 4 : Using statement 1 and 3.
Statement 5 : [tex]\angle ACB\cong \angle GFE[/tex]
Reason 5 : Using statement 1 and 2.
Statement 6 : [tex]\triangle ABC\cong \triangle GEF[/tex]
Reason 6 : AA property of similarity.
Hence proved.
