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प्रश्न
In the given figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
उत्तर
In ∆LMN and ∆OMN,
MN = MN .....(Common)
LM = OM ......(Given)
∠LMN = ∠OMN = 40° ......(Given)
∴ ∆LMN ≅ ∆OMN ......(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 = 4.5 cm, AC = 4 cm, ∠A = 60°.
∆DEF, DE = 4 cm, FD = 4.5 cm, ∠D = 55°.
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 = 60°, ∠R = 35° and PR = 7.8 cm
Construct a triangle PQR with given conditions.
∠P = 115°, ∠Q = 40° and PQ = 6 cm
In the given figure, ∆PQR ≅ ∆ ______.
In the given figure, ΔPQR ≅ Δ ______.
In the given figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
In the given 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 given figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?
