Question

3.In figure 8, AO = BO and <A =<B . Prove that triangleAOC congruent to triangleBOD. Is <ACO = <BDO? Give reasons.​

Answer 1

Answer:

Step-by-step explanation:

Given) AO=BO AND ANGLE A = ANGLE B

IN TRIANGLE AOC AND TRIANGLE BOD

ANGLE A =ANGLE B

AO=BO

ANGLE AOC = ANGLE BOD ( VERTICALLY OPPOSITE ANGLES)

BY SAS triangle AOC is congruent triangle BOD

Answer 2

Answer:

Given-AO=BO and angle A = angle B

To prove-(i) Triangle AOC congruent to Triangle BOD

(ii) angle ACO= angle BDO

proof-

In triangle AOC and Triangle BOD, we have,

angle A= angle B (given)

AO=BO (given)

angle AOC= Angle BOD( vertical opposite angles)

Therefore, by ASA congruency,

triangle AOC is congruent to triangle BOD

Also, by cpct,

angle ACO= angle BDO