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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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

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प्रश्न

Observe the information shown in pair of triangle 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

seg PT ≅ seg ST

∠PTQ ≅ ∠STR        ...[Vertically opposite angles]

∴ ΔPTQ ≅ ΔSTR       ...`square` test

∴ `{:("∠TPQ" ≅ square),("and"  square ≅ "∠TRS"):}}`      ...corresponding angles of congruent triangles

seg PQ ≅ `square`         ...corresponding sides of congruent triangles

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उत्तर

From the information shown in the figure, in ΔPTQ and ΔSTR

seg PT ≅ seg ST

∠PTQ ≅ ∠STR      ...Vertically opposite angles

∠PTQ ≅ ∠STR      ...SAS test

∴ `{:("∠TPQ" ≅ bbunderline("∠TSR")),(bbunderline("∠TQP")≅ "∠TRS"):}}`     ...[corresponding angles of congruent triangles]

seg PQ ≅ seg SR         ...[corresponding sides of congruent triangles]

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पाठ 3: Triangles - Practice Set 3.2 [पृष्ठ ३२]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 3 Triangles
Practice Set 3.2 | Q 2. (ii) | पृष्ठ ३२

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Observe the information shown in pair of triangle 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 ≅ ∠PQR

seg BC ≅ seg QR

∠ACB ≅ ∠PRQ

∴ ΔABC ≅ ΔPQR         ...`square` test

∴ ∠BAC ≅ `square`               ...corresponding angles of congruent triangles.

`{:("seg AB" ≅ square),("and"  square ≅ "seg PR"):}}`      ...corresponding sides of congruent triangles


From the information shown in the figure, state the test assuring the congruence of ΔABC and ΔPQR. Write the remaining congruent parts of the triangles.


In the pair of triangles in the following figure, parts bearing identical marks are congruent. State the test and the correspondence of vertices by the triangle in pairs is congruent.


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Prove that: AD = CD


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Prove that:  


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