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प्रश्न
In the following figure, ΔPQR ≅ Δ ______.
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उत्तर
In the following figure, ΔPQR ≅ ΔRSP.
Explanation:
In ΔPQR ≅ ΔRSP,
QR = SP = 4.1 cm
PR = PR ...[Common side]
∠SPR = ∠QRP = 45°
By SAS congruence criterion,
ΔPQR ≅ ΔRSP
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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 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:
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
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, ∆PQR ≅ ∆ ______.
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.
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°
