In the adjoining figure, ∠ABC = 75°, ∠EDC = 75°. State which two

1.	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» 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

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»

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

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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.

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