G is the midpoint of FH . Complete the proof that △GHJ≅△FGI. Statement Reason 1 G is the midpoint of FH Given 2 GJ ≅ FI Given 3 GI ≅ HJ Given 4 FG ≅ GH Definition of midpoint 5 △GHJ≅△FGI

Question

the question is on ixl K.2 

Proving triangles congruent by SSS and SA

Answer 1

Given that you know that G is the midpoint of FH, you can deduce that FG = GH by definition of midpoint, even though it also states in the last statement that FG is congruent to GH. Since FI = GJ, FG = GH, and GI = JH by all of the given information, you can conclude that the triangles are congruent by SSS. When three pairs of sides in two triangles are congruent, the postulate states that the triangles are congruent.

Vahan