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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 ∆ABE and ∆CBD,
∠EAB = ∠DCB = 50° ......(Given)
AE = CD = 5 cm ......(Given)
AB = CB = 5.2 cm ......(Given)
∴ ∆ABE ≅ ∆CBD ......(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°.
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 ∆ABC and ∆PQR, ∠A = 50° = ∠P, PQ = AB, and PR = AC. By which property ∆ABC and ∆PQR are congruent?
In the given figure, M is the mid-point of both AC and BD. Then ______.
In the given figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
In the given figures, two triangles are congruent by RHS.
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).
∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°
∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°
In the given figure, PO = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.
