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Question
From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.
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Solution
In △ABC and △QPR
AB = PQ ...(Given)
BC = PR ...(Given)
∠BAC = ∠PQR = 90∘ ...(Given)
∴ ΔBAC ≅ ΔPQR ...[Hypotenuse side test]
∴ seg AC ≅ seg QR ...[c.s.c.t.]
∠ABC ≅ ∠QPR and ∠ACB ≅ ∠QRP ...[c.a.c.t.]
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