हिंदी

In the following figure, ΔPQR ≅ Δ ______.

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प्रश्न

In the following figure, ΔPQR ≅ Δ ______.

रिक्त स्थान भरें
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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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अध्याय 6: Triangles - Exercise [पृष्ठ १६८]

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

वीडियो ट्यूटोरियलVIEW ALL [1]

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°.


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


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 = 60°, ∠R = 35° and PR = 7.8 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.


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.


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