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ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that

(i) ΔABD ≅ ΔBAC

(ii) BD = AC

By Sarah

ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that

(i) ΔABD ≅ ΔBAC

(ii) BD = AC

(iii) ∠ABD = ∠BAC.

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About the author
Sarah

74. A car covers a distance of 10 metres in one second, the speed of the car in km/h is:
(a) 30 km
(b) 36 km
(c) 42

2. Which of
the
following does not
represent an integer ?

(a) 0 ÷ (-7)
(b) 20÷(-4) (c) (-9)÷3 (d)

1 thought on “ABCD is a quadrilateral in which AD = BC and ∠DAB = ∠CBA. Prove that<br /><br />(i) ΔABD ≅ ΔBAC<br /><br />(ii) BD = AC<br /><br /”

  1. Step-by-step explanation:

    (i)In quadrilateral ABCD

    angle DAB=angleCBA (given)

    AD=BC (given)

    AB=BA (common)

    (ii)BD =AC (cpct)

    (iii)angleABD=angleBAC (cpct)

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