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प्रश्न
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
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उत्तर
| Statements | Reasons |
|
1. In ΔMUG and ΔTUG MU = TU |
∠3 = ∠4, opposite sides of equal angles |
| 2. UG = UB |
∠1 = ∠2 Side opposite to equal angles are equal |
| 3. ∠GUM = ∠BUT | Vertically opposite angle |
| 4. ∆MUG ≡ ∆TUG |
SAS criteria By 1, 2 and 3 |
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संबंधित प्रश्न
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:
For the given pair of triangles state the criterion that can be used to determine the congruency?
Construct a triangle XYZ with the given conditions.
BC = 8 cm, AC = 6 cm and ∠C = 40°
Construct a triangle PQR with given conditions.
∠P = 60°, ∠R = 35° and PR = 7.8 cm
In the following figure, M is the mid-point of both AC and BD. Then ______.
In the following figure, ∆PQR ≅ ∆ ______.
In the following figure, two triangles are congruent by RHS.
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°
