मराठी

In the following figure, ΔPQR ≅ Δ ______.

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प्रश्न

In the following figure, ΔPQR ≅ Δ ______.

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उत्तर

In the following figure, ΔPQR ≅ ΔRSP.

Explanation:


In ΔPQR ≅ ΔRSP, 

QR = SP = 4.1 cm

PR = PR  ...[Common side]

∠SPR = ∠QRP = 45°

By SAS congruence criterion,

ΔPQR ≅ ΔRSP

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पाठ 6: Triangles - Exercise [पृष्ठ १६८]

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एनसीईआरटी एक्झांप्लर Mathematics Exemplar Class 7
पाठ 6 Triangles
Exercise | Q 65. | पृष्ठ १६८

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संबंधित प्रश्‍न

Construct a triangle ABC with given conditions.

AB = 7 cm, AC = 6.5 cm and ∠A = 120°


Construct a triangle PQR with given conditions.

∠P = 115°, ∠Q = 40° and PQ = 6 cm


In ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?


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.


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°


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

∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm

∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm


In the following figure, PQ = PS and ∠1 = ∠2.

  1. Is ∆PQR ≅ ∆PSR? Give reasons.
  2. Is QR = SR? Give reasons.


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


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