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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PREVIOUSObserve 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 ΔABC and ΔPQR∠ABC ≅ ∠PQRseg BC ≅ seg QR∠ABC = ∠PRQ∴ ΔABC ≅ ΔPQR ……………………____ test∴ ∠BAC = _____……………………corresponding angles of congruent triangles.seg AB ≅ ____………………….. corresponding sides of congruent triangles.____ = seg PR …………………corresponding side of congruent triangles.NEXTFrom the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR Write the remaining congruent parts of the triangles.

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