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प्रश्न
In the given figure, ΔBCD is isosceles with base BD and ∠BAE ≡∠DEA. Prove that AB ≡ ED
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उत्तर
| Statements | Reasons |
| 1. ∠BAE ≡ ∠DEA | Given |
| 2. AC = EC | By (1) sides opposite to equal angles are equal |
| 3. BC = DC | Given BCD is isosceles with base BD |
| 4. AC – BC = EC – DC | 2 – 3 |
| 5. AB ≡ ED | By 4 |
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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 XYZ with the given conditions.
BC = 8 cm, AC = 6 cm and ∠C = 40°
Construct a triangle PQR with given conditions.
∠P = 115°, ∠Q = 40° and PQ = 6 cm
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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.
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.
