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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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अध्याय 6: Triangles - Exercise [पृष्ठ १८१]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 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 Fig,

AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.


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


Construct a triangle XYZ with the given conditions.

BC = 8 cm, AC = 6 cm and ∠C = 40°


Construct a triangle PQR with given conditions.

∠P = 115°, ∠Q = 40° and PQ = 6 cm


Construct a triangle PQR with given conditions.

∠Q = 90°, ∠R = 42° and QR = 5.5 cm


In the following figure, ΔPQR ≅ Δ ______.


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.


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