A student writes the following statement: "Since

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

A student writes the following statement: "Since GH=JKGH = JK, HI=KLHI = KL and ∠H=∠K\angle H = \angle K, therefore △GHI≅△JKL\triangle GHI \cong \triangle JKL by ASA criterion." (i) Point out the error in the student’s reasoning. (ii) State the correct congruence criterion that should be applied in this situation. (iii) Using the given measurements GH=JK=4 cmGH = JK = 4\ \text{cm}, HI=KL=5 cmHI = KL = 5\ \text{cm} and ∠H=∠K=60∘\angle H = \angle K = 60^{\circ}, write a valid proof that △GHI≅△JKL\triangle GHI \cong \triangle JKL.

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