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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. - Mathematics

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प्रश्न

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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उत्तर

In ∆PQR and ∆TUS,

PQ = TU = 3 cm  ...(Given)

QR = US = 5.5 cm  ...(Given)

∠PQR = ∠TUS = 40° ...(Given)

∴ ∆PQR ≅ ∆TUS  ...(SAS criterion)

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पाठ 6: Triangles - Exercise [पृष्ठ १८१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
पाठ 6 Triangles
Exercise | Q 148. (i) | पृष्ठ १८१

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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°.


In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED


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Construct a triangle ABC with given conditions.

AB = 7 cm, AC = 6.5 cm and ∠A = 120°


Construct a triangle XYZ with the given conditions.

BC = 8 cm, AC = 6 cm and ∠C = 40°


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 

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  2. BC = ______.
  3. ∠BCA = ______.
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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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