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In pair of triangles given below, parts shown by identical marks are congruent. State the test and the one-to-one correspondence of vertices by which triangles in pair are congruent. Also state the remaining congruent parts. |
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Answer» In ∆DCH and ∆DCF, ∠DCH ≅ ∠DCF …[Given] ∠DHC ≅ ∠DFC …[Given] side DC ≅ side DC …[Common side] ∴ ∆DCH ≅ ∆DCF …[by AAS test] ∴ side HC ≅ side FC …[Corresponding sides of congruent triangles] side DH ≅ side DF…[Corresponding sides of congruent triangles] ∠HDC ≅ ∠FDC ….[Corresponding sides of congruent triangles] |
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