Question

In the (a) AABC= given figure, ADBC AB = DC and LABC = ZDCB. Prove that (b) ZA = ZD (c) AAOB = ADOC (d) AOBC is isosceles.

Answer 1

Answer:

(a) AB = DC (given)

∠ABC = ∠DCB (given)

BC = BC (common)

Therefore ΔABC congruent to ΔDBC (SAS congruence)

(b) ∠A = ∠D (CPCT)

(c) ∠AOB = ∠DOC

∠A = ∠D

AB = DC

Therefore ΔAOB congruent to ΔDOC (AAS congruence)

(d) OB = OC (CPCT)

Therefore, ΔBOC is isosceles.

Step-by-step explanation:

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