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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ७

For the given pair of triangles state the criterion that can be used to determine the congruency? - Mathematics

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प्रश्न

For the given pair of triangles state the criterion that can be used to determine the congruency?

बेरीज
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उत्तर

Two sides are equal.

One angle is vertically opposite angles and one equal.

By SAS criterion both triangles are congruent.

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पाठ 4: Geometry - Exercise 4.2 [पृष्ठ ८५]

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सामाचीर कलवी Mathematics - Term 2 [English] Class 7 TN Board
पाठ 4 Geometry
Exercise 4.2 | Q 6. (vi) | पृष्ठ ८५

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 = 7 cm, BC = 5 cm, ∠B = 50°.

∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.


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°.


Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:


State whether the two triangles are congruent or not. Justify your answer


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



In the following figure, AB = AD and ∠BAC = ∠DAC. Then 

  1. ∆ ______ ≅ ∆ABC.
  2. BC = ______.
  3. ∠BCA = ______.
  4. Line segment AC bisects ______ and ______.

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.


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.


State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).

∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°

∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°


In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?


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