Question

In the adjoining figure, ∠ABC = 75°, ∠EDC = 75°. State which two triangles are similar and by which test? Also write the similarity of these two triangles by a proper one to one correspondence.

Answer 1

In ∆ABC and ∆EDC,

∠ABC ≅ ∠EDC [Each angle is of measure 75°]

∠ACB ≅ ∠ECD [Common angle]

∴ ∆ABC ~ ∆EDC [AA test of similarity]

One to one correspondence is

ABC ↔ EDC