Question

ac and bd are perpendicular to line segment ab. if triangle boc is congruent to triangle aod , then the relation between oc and od is

Answer 1

Answer:

OC and OD are equal

Step-by-step explanation:

Given:

angleOAD=90°

angleOBC=90°

AD=BC

To Prove:

OD=OC

Proof:

Line CD intersects line AB so,

angleAOD=angleBOC [Vertical Opposite Angles]

In ∆AOD and ∆BOC,

angleOAD=angleOBC [Given]

angleAOD=angleBOC [Vertically Opposite Angles]

AD=BC [Given]

According to AAS congruence rule,

∆AOD is congruent to ∆BOC

Hence,

OD=OC [Corresponding Parts Of Congruent Triangles]

Answer 2

Answer:

OD = OC

This is the correct answer.

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