Given: ABC and FGH are right angles; BA||GF; BC ≅ GH Prove: ABC ≅ FGH Step 1: We know that ABC ≅ FGH because all right angles are congruent. Step 2: We know that BAC ≅ GFH because corresponding angles of parallel lines are congruent. Step 3: We know that BC ≅ GH because it is given. Step 4: ABC ≅ FGH because of the
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Answer:Step-by-step explanation:Given: ΔABC and ΔFGH are right angles, BA||GF; BC ≅ GH.To prove: ΔABC ≅ ΔFGH Proof: Step 1. ∠ABC ≅ ∠FGH (Because all right angles are congruent)Step 2. ∠BAC ≅ ∠GFH (Because corresponding angles of parallel lines are congruent)Step 3. BC ≅ GH (Given)Step 4. From ΔABC and ΔFGH ∠ABC ≅ ∠FGH BC ≅ GH∠BAC ≅ ∠GFHthus, by ASA rule of congruency, ΔABC ≅ ΔFGH.