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Explain the answer because im stuck
9 months ago
Q:
explain the answer because im stuck
Accepted Solution
A:
Answer:The Proof is given below.Step-by-step explanation:Given:[tex]\overline{HF}[/tex] bisect ∠ EHG.i.e∴ ∠EHF ≅ ∠ GHF[tex]\overline{EH} \cong \overline{GH}[/tex] To Prove:[tex]\overline{EF} \cong \overline{GF}[/tex] Proof:In Δ EHF and Δ GHF EH ≅ GH ………............{Given} ∠ EHF ≅ ∠ GHF …………..{EF bisect ∠ EHG as given above} HF ≅ HF ………............{Reflexive Property} Δ EHF ≅ Δ GHF …................{ By Side-Angle-Side test} ∴ EF ≅ GF........{corresponding parts of congruent triangles (c.p.c.t).}[tex]\overline{EF} \cong \overline{GF}[/tex] ....... PROVED