Observe the information shown in pairs of triangles given below. State the test by which the two triangles are congruent. Write the remaining congruent parts of the triangles.

From the information shown in the figure.,
In ΔPTQ and ΔSTR
∠PTQ = ∠STR ……………………….. vertically opposite angles
seg TQ ≅ seg TR
∴ ΔPTQ ≅ ΔSTR ………………._____ test
∠TPQ ≅ ____ …………………… corresponding angles of congruent triangles.
_____ ≅ ∠TRS ………………….. corresponding angles of congruent triangles.
seg PQ ≅ _____ …………….. corresponding sides of congruent triangles.
In ΔPTQ and ΔSTR
Given: ∠PTQ = ∠STR ……………………….. vertically opposite angles
seg TQ = seg TR
seg TP = seg TS
∴ ΔPTQ = ΔSTR ……………….SAS test
SAS: side angle side
∠TPQ = ∠TSR …………………… corresponding angles of congruent triangles.
∠TQP = ∠TRS ………………….. corresponding angles of congruent triangles.
seg PQ = seg SR …………….. corresponding sides of congruent triangles.
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