Q. 2 B4.0( 21 Votes )

# 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 anglesseg 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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