In pair of triangles given below, parts shown by identical marks are c

1.	In 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 pair are congruent. Also state the remaining congruent parts.
Answer» In ∆PRQ and ∆TRS, side PR ≅ side TR … [Given] ∠PRQ ≅ ∠TRS …[Vertically opposite angles] side RQ ≅ side RS … [Given] ∴ ∆PRQ ≅ ∆TRS …[by SAS test] ∴ side PQ ≅ side TS …[Corresponding sides of congruent triangles] ∠RPQ ≅ ∠RTS …[Corresponding sides of congruent triangles] ∠PQR ≅ ∠TSR …[Corresponding sides of congruent triangles]

In 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 pair are congruent. Also state the remaining congruent parts.

Answer»

In ∆PRQ and ∆TRS,

side PR ≅ side TR … [Given]

∠PRQ ≅ ∠TRS …[Vertically opposite angles]

side RQ ≅ side RS … [Given]

∴ ∆PRQ ≅ ∆TRS …[by SAS test]

∴ side PQ ≅ side TS …[Corresponding sides of congruent triangles]

∠RPQ ≅ ∠RTS …[Corresponding sides of congruent triangles]

∠PQR ≅ ∠TSR …[Corresponding sides of congruent triangles]