Question

In each pair of triangles given below, parts shown by identical marks are congruent. State the test and the one to one correspondence of vertices by which triangles in each par are Congruent and remaining congruent parts.​

Answer 1

Answer:

∠QPR ≅ ∠STR ...[Corresponding angles of congruent triangles]

∠PQR ≅ ∠TSR ...[Corresponding angles of congruent triangles]

Step-by-step explanation:

In ΔPQR and ΔTRS,

seg PR ≅ seg TR ...[Given]

∠PRQ ≅ ∠TRS ...[Vertically opposite angles]

   

seg RQ ≅ seg RS ...[given]

ΔPRQ ≅ ΔTRS ...[S-A-S Test]

   

Under the correspondence PRQ ↔ TRS

seg RQ ≅ seg TS ...[Corresponding sides of congruent triangles]

   

∠QPR ≅ ∠STR ...[Corresponding angles of congruent triangles]

∠PQR ≅ ∠TSR ...[Corresponding angles of congruent triangles]