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प्रश्न
BD bisects ∠ABC. ΔABD ≅ ΔCBD by ______.
पर्याय
SAS
RHS
AAS
ASA
MCQ
रिकाम्या जागा भरा
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उत्तर
BD bisects ∠ABC. ΔABD ≅ ΔCBD by AAS.
Explanation:
Since BD bisects ∠ABC, it divides the angle into two equal parts, meaning:
- ∠ABD = ∠CBD ...(By the angle bisector property)
- Also AB = BC ...(Since both triangles share the side AB and BD bisects the angle)
- BD = BD ...(Common side)
With two angles and the included side of one triangle equal to two angles and the included side of the other triangle, ΔABD ≅ ΔCBD by the AAS (Angle-Angle-Side) congruence criterion.
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