Advertisements
Advertisements
प्रश्न
In the given figure, prove that: ∆ ABD ≅ ∆ ACD

Advertisements
उत्तर
Proof:
In Δ ABD and Δ ACD,
AD = AD ..............(common)
AB = AC ...............(given)
BD = DC ...............(given)
∴ Δ ABD ≅ Δ ACD .............(S.S.S. Axiom)
Hence proved.
APPEARS IN
संबंधित प्रश्न
If ΔABC ≅ ΔFED under the correspondence ABC ↔ FED, write all the Corresponding congruent parts of the triangles.
In the given figure, if AE || DC and AB = AC, the value of ∠ABD is

In the given figure, ∠P ≅ ∠R seg, PQ ≅ seg RQ. Prove that, ΔPQT ≅ ΔRQS.

The following figure has shown a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Prove that: (i) BN = CM (ii) ΔBMC ≅ ΔCNB

In the figure, AB = EF, BC = DE, AB and FE are perpendiculars on BE. Prove that ΔABD ≅ ΔFEC
In the figure, BM and DN are both perpendiculars on AC and BM = DN. Prove that AC bisects BD.
In the figure, RT = TS, ∠1 = 2∠2 and ∠4 = 2∠3. Prove that ΔRBT ≅ ΔSAT.
Two right-angled triangles ABC and ADC have the same base AC. If BC = DC, prove that AC bisects ∠BCD.
Given that ∆ABC ≅ ∆DEF List all the corresponding congruent angles
In triangles ABC and PQR, ∠A = ∠Q and ∠B = ∠R. Which side of ∆PQR should be equal to side AB of ∆ABC so that the two triangles are congruent? Give reason for your answer.
