मराठी
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 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

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उत्तर

From the information shown in the figure,

In ΔABC and ΔPQR

∠ABC ≅ ∠PQR

seg BC ≅ seg QR

∠ACB ≅ ∠PRQ

∴ ΔABC ≅ ΔPQR          ...ASA test

∴ ∠BAC ≅ ∠QPR           ...corresponding angles of congruent triangles.

`{:("seg AB" ≅ bb("seg PQ")),("and"  bb("seg AC") ≅ "seg PR"):}}`     ...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. (i) | 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,

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seg PT ≅ seg ST

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∴ ΔPTQ ≅ ΔSTR       ...`square` test

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

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