Question

The coordinates of point A are (p, q) and coordinates of point B are (p+2q, q+2p). Provide your complete solutions and proofs in your paper homework and respond to questions or statements online.

Show that AB = 2AO, where O is the origin

Answer 1

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Explanation:

AO=
`\sqrt{p^(2)+q^(2) }`

AB=
`\sqrt{( p+2q-p)^(2) + (q+2p-q)^(2)`

=
`\sqrt{(2q)^(2)+(2p)^(2) }`

=
`\sqrt{4(q^(2)+p^(2) ) }`

=
`2\sqrt{p^(2)+q^(2) }`

=2AO.

:)