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.(i) From the information shown in the figure,in ∆ABC and ∆PQR∠ABC ≅ ∠PQRseg BC ≅ seg QR ∠ACB≅ ∠PRQ∴ ∆ABC ≅ ∆PQR ....... 3243432 test∴ ∠BAC ≅ 3243432 .......corresponding angles of congruent triangles.seg AB≅ 1234and 1234 ≅ seg PR...corresponding sides of congruent triangles(ii) From the information shown in the figure,in ∆PTQ and ∆STRseg PT ≅ seg ST ∠PTQ≅ ∠STR...... vertically opposite angles∴ ∆PTQ ≅ ∆STR ....... 3243432 test ∴ ∠TPQ≅ 1234and 1234 ≅ ∠TRS...corresponding angles of congruent trianglesseg PQ ≅ 3243432 corresponding sides of congruent triangles

Observe the information shown in pairs of triangles given below. State

1.	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.(i) From the information shown in the figure,in ∆ABC and ∆PQR∠ABC ≅ ∠PQRseg BC ≅ seg QR ∠ACB≅ ∠PRQ∴ ∆ABC ≅ ∆PQR ....... 3243432 test∴ ∠BAC ≅ 3243432 .......corresponding angles of congruent triangles.seg AB≅ 1234and 1234 ≅ seg PR...corresponding sides of congruent triangles(ii) From the information shown in the figure,in ∆PTQ and ∆STRseg PT ≅ seg ST ∠PTQ≅ ∠STR...... vertically opposite angles∴ ∆PTQ ≅ ∆STR ....... 3243432 test ∴ ∠TPQ≅ 1234and 1234 ≅ ∠TRS...corresponding angles of congruent trianglesseg PQ ≅ 3243432 corresponding sides of congruent triangles
Answer» 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. (i) From the information shown in the figure, in $∆$ ABC and $∆$ PQR $∠$ ABC $≅ ∠$ PQR seg BC $≅$ seg QR $∠$ ACB $≅$ $∠$ PRQ $∴ ∆$ ABC $≅$ $∆$ PQR ....... $3243432$ test $∴ ∠$ BAC $≅$ $3243432$ .......corresponding angles of congruent triangles. $\begin{array}{l} seg AB ≅ 1234 \\ and 1234 ≅ seg PR \end{array}\} . . . corresponding sides of congruent triangles$ (ii) From the information shown in the figure, in $∆$ PTQ and $∆$ STR seg PT $≅$ seg ST $∠$ PTQ $≅$ $∠$ STR...... vertically opposite angles $∴ ∆$ PTQ $≅$ $∆$ STR ....... $3243432$ test $\begin{array}{l} ∴ ∠ TPQ ≅ 1234 \\ and 1234 ≅ ∠ TRS \end{array}\} . . . corresponding angles of congruent triangles$ seg PQ $≅$ $3243432$ corresponding sides of congruent triangles

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