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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
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°.
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°.
In Fig,
AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
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(iii) Is ∠B = ∠C? Give reasons.
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AB = 7 cm, AC = 6.5 cm and ∠A = 120°
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- ∆ ______ ≅ ∆ABC.
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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.
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