the-point-2-1-is-reflected-in-the-line-x-4-find-the-image-point-

Question Number 42315 by mondodotto@gmail.com last updated on 23/Aug/18

the point (2, - 1) is reflected

in the line x = 4 find the

image point .

Answered by tanmay.chaudhury50@gmail.com last updated on 23/Aug/18

Answered by Rio Michael last updated on 23/Aug/18

R e f l e c t i o n i n t h e l i n e x = a f o r (x, y) i s

(\begin{matrix} x^{'} \\ y^{'} \end{matrix}) = (\begin{matrix} - 1 & 0 \\ 0 & 1 \end{matrix}) (\begin{matrix} x \\ y \end{matrix}) + (\begin{matrix} 2 a \\ 0 \end{matrix}) S t a n d a r d F o r m u l a r

a t l i n e x = 4 a n d p o i n t (2, - 1)

(\begin{matrix} x^{'} \\ y^{'} \end{matrix}) = (\begin{matrix} - 1 & 0 \\ 0 & 1 \end{matrix}) (\begin{matrix} 2 \\ - 1 \end{matrix}) + (\begin{matrix} 8 \\ 0 \end{matrix}) {w e m u l t i p l y R O W \times C O L U M N}

= (\begin{matrix} - 2 \\ - 1 \end{matrix}) + (\begin{matrix} 8 \\ 0 \end{matrix})

(\begin{matrix} x^{'} \\ y^{'} \end{matrix}) = (\begin{matrix} 6 \\ - 1 \end{matrix})