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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 ∆PSQ and ∆RQS,

SQ = QS  ...(Common)

PS = RQ = 4 cm  ...(Given)

∠PSQ = ∠RQS = 40°  ...(Given)

∴ ∆PSQ ≅ ∆RQS  ...(SAS criterion)

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अध्याय 6: Triangles - Exercise [पृष्ठ १८३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 7
अध्याय 6 Triangles
Exercise | Q 148. (vii) | पृष्ठ १८३

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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 = 4.5 cm, AC = 4 cm, ∠A = 60°.

∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.


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


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


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?


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


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).

∆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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