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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB

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प्रश्न

In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB

तक्ता
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उत्तर

Statements Reasons

1. In ΔMUG and ΔTUG

MU = TU

∠3 = ∠4, opposite sides of equal angles
2. UG = UB

∠1 = ∠2

Side opposite to equal angles are equal

3. ∠GUM = ∠BUT Vertically opposite angle
4. ∆MUG ≡ ∆TUG

SAS criteria

By 1, 2 and 3

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पाठ 5: Geometry - Exercise 5.3 [पृष्ठ १७९]

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सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 5 Geometry
Exercise 5.3 | Q 1 | पृष्ठ १७९

संबंधित प्रश्‍न

Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.

∆ABC, AB = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.


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Construct a triangle PQR with given conditions.

∠P = 60°, ∠R = 35° and PR = 7.8 cm


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∠Q = 90°, ∠R = 42° and QR = 5.5 cm


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Using the given figure, prove that the triangles are congruent. Can you conclude that AC is parallel to DE


In the following figure, ΔPQR ≅ Δ ______.



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  1. ∆ ______ ≅ ∆ABC.
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In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.


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