Question

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In the given figure, ray AZ bisects ∠BAD and ∠DCB. Prove the following and state reasons:

(a) ΔBAC is congruent to ΔDAC.

(b) AB=AD

(c) CD=CB

Answer 1

Answer:

a.)In ∆BAC AND ∆DAC

ANGLE DAC = ANGLE BAC(GIVEN)

ANGLE DCA = ANGLE BCA (Given)

AD IS A COMMON SIDE

SO, ∆BAC congruence ∆DAC (A.S.A)

b.)Yes AB=AD (C.P.C.T.)

c.)Yes CD=CB(C.P.C.T.)

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