Question

in the given figure AD and BC are equal perpendicular to a line segment AB. show that CD bisects AB​

Answer 1

Q.ADandBCareperpendiculars

\bf{\underline{to\: a\: line\: segment\: AB. \:Show\: that\: }}

toalinesegmentAB.Showthat

\bf{\underline{ CD\:bisects\: AB.}}

CDbisectsAB.

\mathbb{ SOLUTION }SOLUTION :

Given,

AD and BC are perpendiculars of AB.

\mathbb{ TO \:BE \:SHOWN }TOBESHOWN :

CD bisects AB

∠BOC = ∠DOC ( ∴ Vertically opposite angles )

DA = BC

∠B = ∠A = 90°

So, by \bf{AAS}AAS congruence condition, ΔBOC ≅ ΔOAD

So,

now CO = OD

so, it bisects AB on point '\bf{O}O '

OA = OB [ by \bf{CPCT}CPCT ]

➖➖➖➖➖➖➖➖➖➖➖➖➖

\bf{AAS}AAS : Angle-Angle-side

\bf{CPCT}CPCT : Corresponding Parts of Congruent Triangles

Answer 2

Step-by-step explanation:

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