From the information shown in the figure, state the test assuring the – InterviewSolution

InterviewSolution

1.

From the information shown in the figure, state the test assuring the congruence of ∆ABC and ∆PQR. Write the remaining congruent parts of the triangles.

Answer»

In ∆BAC and ∆PQR,

seg BA ≅ seg PQ

seg BC ≅ seg PR

∠BAC ≅ ∠PQR = 90° [Given]

∴ ∆BAC ≅ ∆PQR [Hypotenuse side test]

∴ seg AC ≅ seg QR [c.s.c.t.]

∠ABC ≅ ∠QPR and ∠ACB ≅ ∠QRP [c.a.c.t.]

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