ABCD is a square and EF is parallel to the diagonal BD and em is equal to FM
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Since diagonal of a square bisects the vertex and BD is the diagonal of square ABCD.
∴ ∠ CBD = ∠ CDB = 90/2 = 45°
Given : EF || BD
⇒ ∠ CEF = ∠ CBD = 45° and ∠ CEF = ∠ CDB = 45° (Corresponding angles)
⇒ CEF = CFE
⇒ CE = CF (Sides opposite of equal angles are equal) .....(1)
Now, BC = CD (Sides of square) .....(2)
Subtracting (1) from (2), we get
⇒ BC CE = CD CF
⇒ BE = DF or DF = BE (First condition proved)
(2) Δ ABE ≡ ADF (By SAS congruency criterion)
⇒ ∠ BAE = ∠ DAF .....(3)
AE = AF
And, Δ AEM ≡ Δ AFM (By SSS congruency criterion)
⇒ ∠ EAM = ∠ FAM ....(4)
Now adding (3) and (4), we get
⇒ BAE + EAM = DAF + FAM
⇒ BAM = DAM
i.e. AM bisects ∠ BAD
Proved.
∴ ∠ CBD = ∠ CDB = 90/2 = 45°
Given : EF || BD
⇒ ∠ CEF = ∠ CBD = 45° and ∠ CEF = ∠ CDB = 45° (Corresponding angles)
⇒ CEF = CFE
⇒ CE = CF (Sides opposite of equal angles are equal) .....(1)
Now, BC = CD (Sides of square) .....(2)
Subtracting (1) from (2), we get
⇒ BC CE = CD CF
⇒ BE = DF or DF = BE (First condition proved)
(2) Δ ABE ≡ ADF (By SAS congruency criterion)
⇒ ∠ BAE = ∠ DAF .....(3)
AE = AF
And, Δ AEM ≡ Δ AFM (By SSS congruency criterion)
⇒ ∠ EAM = ∠ FAM ....(4)
Now adding (3) and (4), we get
⇒ BAE + EAM = DAF + FAM
⇒ BAM = DAM
i.e. AM bisects ∠ BAD
Proved.
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ت کے ساتھ ہی نے اپنے ہم عصر کی ادائیگی کا طریقہ بھی اس کا رقبہ اور یہ اس وقت ان کا نام بھی درج کریں کمپنی کا اندازہ ہو جائے کرنے والے اور یہ بھی ہے جو ایک بار جب کہ گزشتہ ہفتے اور اہم کردار تھا جو دنیا کے
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