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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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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°.
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
Construct a triangle PQR with given conditions.
∠P = 60°, ∠R = 35° and PR = 7.8 cm
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, M is the mid-point of both AC and BD. Then ______.
In the following figure, ∆PQR ≅ ∆ ______.
In the following figure, ΔPQR ≅ Δ ______.
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
