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

In the following example, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same sign. By ______ test - Geometry

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प्रश्न

In the following example, a pair of triangles is shown. Equal parts of triangles in each pair are marked with the same sign. Observe the figure and state the test by which the triangle in each pair are congruent.

By ______ test

Δ ABC  ≅  ΔPQR

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उत्तर

By SSS Test

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पाठ 3: Triangles - Practice Set 3.2 [पृष्ठ ३१]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 3 Triangles
Practice Set 3.2 | Q 1. (i) | पृष्ठ ३१

संबंधित प्रश्‍न

In Fig. 10.22, the sides BA and CA have been produced such that: BA = AD and CA = AE.
Prove that segment DE || BC. 

 

 


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respectively. Prove that: LN = MN. 


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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


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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Prove that 
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