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 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.

Answer :

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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