ABCD is a square with center O. I is the middle of [BC]. 1) q is geometric transformation defined by q: M→M′ such that CM′^(→) =CM^(→) +3DM^(→) . a)Determinate the invariant point of q. b) show that q is a homothety and precise it ratio.


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Question Number 104744 by mathocean1 last updated on 23/Jul/20

$A B C D i s a s q u a r e w i t h c e n t e r O .$ $I i s t h e m i d d l e o f [B C] .$ $1) q i s g e o m e t r i c t r a n s f o r m a t i o n$ $d e f i n e d b y q : M \to M^{'} s u c h t h a t$ $\vec{{C M}^{'}} = \vec{C M} + 3 \vec{D M} .$ $a) D e t e r m i n a t e t h e i n v a r i a n t p o i n t$ $o f q .$ $b) s h o w t h a t q i s a h o m o t h e t y a n d$ $p r e c i s e i t r a t i o .$
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