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प्रश्न
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.
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उत्तर
i. In ∆PQR and ∆PSR,
PQ = PS ...(Given)
∠1 = ∠2 ...(Given)
PR = PR ...(Common)
∴ ∆PQR ≅ ∆PSR ...(SAS criterion)
ii. Yes, QR = SR ...(By C.P.C.T.)
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संबंधित प्रश्न
In Fig,
AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.
Consider the given pairs of triangles and say whether each pair is that of congruent triangles. If the triangles are congruent, say ‘how’; if they are not congruent say ‘why’ and also say if a small modification would make them congruent:
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 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.
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.
In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?
