Coordinate of image triangle is M'(-6,-2),N'(-1,7) and P'(3,4)
Step-by-step explanation:
The given triangle MNP has coordinates of M(-2,6), N(7,1), and P(4,-3)
In matrix form, It can be written as :
[tex]\left[\begin{array}{ccc}-2&7&4\\6&1&-3\\\end{array}\right][/tex]
Triangle has to rotate by angle of 90 degree at origin.
Counterclockwise Rotation matrix is given by :
[tex]\left[\begin{array}{ccc}cos\theta&-sin\theta\\sin\theta&cos\theta\end{array}\right][/tex]
For [tex]\theta = 90[/tex]
[tex]\left[\begin{array}{ccc}0&-1&\\1&0\end{array}\right][/tex]
Image of triangle MNP will be
=[tex]\left[\begin{array}{ccc}0&-1&\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-2&7&4\\6&1&-3\\\end{array}\right][/tex]
=[tex]\left[\begin{array}{ccc}-6&-1&3\\-2&7&4\\\end{array}\right][/tex]
Thus,
The coordinate of image triangle is M(-6,-2),N(-1,7) and P(3,4)
