Question

3. AD and BC are equal perpendiculars to a line segment AB (see Fig. 7.18). Show that CD bisects AB.​

Answer 1

Answer:

AD=BC ( bcoz given)

angle DOA = angle BOC ( bcoz vertically opp. angles)

and, angle OAD = angle OBC ( right angle = 90°)

so by AAS critarion , ∆ODA is congruent to ∆OBC

therefore By CPCT(Corresponding part of Congruent Triangle) , AO = OB

so it's proved that , CD bisects AB

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Answer 2

Answer:

In △OAD & △OBC

∠B=∠A = (90 ⁰)

And,

∠D=∠C

And,

AD=BC

So, byASA congruence criterion rule

△OAD is congruent to △OBC

Therefore,

OA=OB

CD bisects AB

Step-by-step explanation:

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