Question

3.
AD and BC are equal perpendiculars to a line
segment AB (see Fig. 7.18). Show that CD bisects
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Answer 1

Answer:

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Answer 2

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Given:

AB and BC are equal.

To Find:

CD bisects AB.

Solution:

In ∆BOC and ∆AOD

$In \: ∆BOC \: and \: ∆AOD$

∠BOC = ∠AOD( Vertically opposite angke)

∠CBO = ∠DAO (each 90°)

BC= AD (GIVEN)

∴ ∆BOC ≅ ∆AOD (AAS Congruence Rule)

⇒ OB = OA [By C.P.C.T.]

i.e., O is the mid-point of AB.

Thus, CD bisects AB.