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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ८ वी

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. - Mathematics

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प्रश्न

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.

एका वाक्यात उत्तर
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उत्तर

The triangles are congruent by the SAA or ASA test, under the correspondence MTN ↔ STN.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 13: Congruence of triangles - Practice Set 13.1 [पृष्ठ ८५]

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बालभारती Mathematics [English] Standard 8 Maharashtra State Board
पाठ 13 Congruence of triangles
Practice Set 13.1 | Q 1.5 | पृष्ठ ८५
बालभारती Mathematics Integrated [English] Standard 8 Maharashtra State Board
पाठ 13 Congruence of Triangles
Practice Set 13.1 | Q 1. (v) | पृष्ठ ६०

संबंधित प्रश्‍न

Complete the congruence statement:

ΔBCA ≅?

ΔQRS ≅?


In a squared sheet, draw two triangles of equal areas such that

The triangles are not congruent.

What can you say about their perimeters?


In triangles ABC and PQR, if ∠A = ∠R, ∠B = ∠P and AB = RP, then which one of the following congruence conditions applies:


In the given figure, X is a point in the interior of square ABCD. AXYZ is also a square. If DY = 3 cm and AZ = 2 cm, then BY =


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


In ΔTPQ, ∠T = 65°, ∠P = 95° which of the following is a true statement?


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.


In a triangle, ABC, AB = BC, AD is perpendicular to side BC and CE is perpendicular to side AB. Prove that: AD = CE.


Which of the following pairs of triangles are congruent? Give reasons
ΔABC;(BC = 5cm,AC = 6cm,∠C = 80°);
ΔXYZ;(XZ = 6cm,XY = 5cm,∠X = 70°).


Without drawing the triangles write all six pairs of equal measures in the following pairs of congruent triangles.

∆YZX ≅ ∆PQR


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