Questions: Complete the two-column proof
Given: overline E congruent to overline GH, overline EF congruent to overline HF, F is the midpoint of overline GI
Prove: triangle EFI congruent to triangle HFG
Statements
Reasons
1) overline IE congruent to overline GH, overline EF congruent to overline HF
Transcript text: Complete the two-column proof
Given: $\overline{\mathrm{E}} \cong \overline{\mathrm{GH}}, \overline{\mathrm{EF}} \cong \overline{\mathrm{HF}}$, F is the midpoint of $\overline{\mathrm{GI}}$
Prove: $\triangle E F I \cong \triangle H F G$
Statements
Reasons
1) $\overline{\mathrm{IE}} \cong \overline{\mathrm{GH}}, \overline{\mathrm{EF}} \cong \overline{\mathrm{HF}}$
Solution
Solution Steps
Step 1: Given Information
Statements:
\( IE \cong GH \), \( EF \cong HF \)
Reasons:
Given
Step 2: Midpoint Definition
Statements:
2. \( F \) is the midpoint of \( GI \)