Math, asked by pritichitnis408, 8 months ago

• If ABCD is a quadrilateral such that diagonal AC bisects the angles
A and C, then prove that AB = AD and CB = CD.​

Answers

Answered by GodofGODS
17

Step-by-step explanation:

In ∆ACD and ∆ACB

AC=AC ( COMMON)

Angle DAC = angle BAC ( bisected by ac)

angle DCA = angle BCA ( " )

THEREFORE, ∆ACD is congruent to ∆ACB by ASA

SO, AB = AD and CB = CD ( cpct)

hope u got it.

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