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प्रश्न
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.
उत्तर
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.
संबंधित प्रश्न
In a ΔABC, if AB = AC and ∠B = 70°, find ∠A.
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From the information shown in the figure,
in ΔPTQ and ΔSTR
seg PT ≅ seg ST
∠PTQ ≅ ∠STR ...[Vertically opposite angles]
∴ ΔPTQ ≅ ΔSTR ...`square` test
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seg PQ ≅ `square` ...corresponding sides of congruent triangles
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The congruent figures super impose each other completely.
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