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Question
In the pair of triangles given below, the parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which the triangles in the pair are congruent, the remaining congruent parts.
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Solution
In ∆DHC and ∆DFC,
∠DCH ≅ ∠DCF (given)
∠DHC ≅ ∠DFC (given)
side DC is common
∴ By AAS test, ∆DHC ≅ ∆DFC.
∴ side DH ≅ side DF,
side HC ≅ side FC,
∠HDC ≅ ∠FDC.
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