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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Mathematics

Dominique Boyd

29 June, 06:41

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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Tia · Answer 1

We have tow congruent angles and one congruent side; therefore the triangles ABC and FGH are congruent by the Angle-Angle-Side congruence theorem (AAS).

The AAS congruence theorem states that tow triangles are congruent if two corresponding angles and a pair of opposite sides are congruent in both triangles.