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In , , and . In another triangle , , and . Which congruence criterion, if any, proves…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem In △ A B C \triangle ABC △ A B C , A B = 7 cm AB = 7\,\text{cm} A B = 7 cm , A C = 9 cm AC = 9\,\text{cm} A C = 9 cm and ∠ A = 55 ∘ \angle A = 55^{\circ} ∠ A = 5 5 ∘ . In another triangle △ D E F \triangle DEF △ D E F , D E = 7 cm DE = 7\,\text{cm} D E = 7 cm , D F = 9 cm DF = 9\,\text{cm} D F = 9 cm and ∠ D = 55 ∘ \angle D = 55^{\circ} ∠ D = 5 5 ∘ . Which congruence criterion, if any, proves △ A B C ≅ △ D E F \triangle ABC \cong \triangle DEF △ A B C ≅ △ D E F ?
(a) ASA \text{ASA} ASA
(b) SSS \text{SSS} SSS
(c) SAS \text{SAS} SAS
(d) RHS \text{RHS} RHS
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