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A D\ a n d\ B C are equal perpendicula...

`A D\ a n d\ B C` are equal perpendiculars to a line segment `A B` . Show that `C D` bisects `A Bdot`

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Given, `AD_|_ AB`
`BC_|_AB`
`AD = BC`
To Prove, `CD, bisects AB or OA = OB`
We can show that the two triangles OBC and OAD are congruent by using AAS congruency rule
then we can say corresponding parts of congruent triangles will be equal.
`AD and BC`are equal perpendiculars to a line segment AB(figure).
Show that, `CD\ bisects\ AB.`
Consider two `/_\`s \BOC and AOD\,/_BOC=/_AOD`
`/_CBO=/_DAO \Each\ 90^@`
since `AD \and\ BC are _|_ AB)`
`BC = AD` (Given)
`/_\BOC~=/_\AOD` (AAS congruence rule)
`BO = AO` (By CPCT)
Thus,CD bisects AB and O is the mid-point of AB.
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  13. A triangle A B C is an isosceles triangle if any one of the followi...

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