Question

pls help me in this ...​

Answer 1

Solution :-

Given,

ABCD is a Quadrilateral in which AD = BC and ∠DAB = ∠CBA

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To Prove,

i. ΔABD ≅ ΔBAC

ii. BD = AC

iii. ∠ABD = ∠BAC

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Proofs :-

i. ΔABD ≅ ΔBAC

In ΔABD and ΔBAC,

• AD = BC [Given]

• ∠DAB = ∠CBA [Given]

• AB = BA [Common Side]

∴ By SAS Congruence, ΔABD ≅ ΔBAC . . .

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ii. BD = AC

It is Proved that ΔABD ≅ ΔBAC,

∴ By CPCT, BD = AC . . .

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iii. ∠ABD = ∠BAC

It is Proved that ΔABD ≅ ΔBAC and BD = AC,

∴ By CPCT, ∠ABD = ∠BAC . . .

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Additional Information :-

Q: What is a Quadrilateral?

A: A Plane Figure bounded by Four Line Segments is called a Quadrilateral.

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SAS Congruence :- Two Triangles are Congruent by SAS Congruence if Two Sides and the Included Angle are Correspondingly Equal . . .

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CPCT :- It is the Abbreviation for 'Corresponding Pairs of Congruent Triangles' . . .