$C{H}_{-}6$

$2$D Transformation

Q$1-$A$.$

Using the transformation matrix, translate point $(2,6)$ by $4$ in the $x-$direction and by $-3$ in the $y-$direction.

$q,$

Q$1-$B$.$

Using a $3$D transformation matrix, rotate the point $(2,6)$ by $90$ degrees anti$-$clockwise about $(0,0).$

Q$2.$

Using a $3$D transformation matrix, firstly, translate the point $(2,6)$ by $4$ in the $x$ direction and $-3$ in the $y$ direction and then rotate it anti$-$clockwise by $90$ degrees about $(0,0).$

Q$3-$A$.$ The triangle $Q$ is defined by the points $a(2,6),b(2,10)$ and $c(6,8),$

Using a $3$D combo matrix, apply the transformation to $Q$ which:

Note: firstly, translate Q by $4$ in the x direction and $-3$ in the y direction and then rotates it anti$-$clockwise by $90$ degrees about $(0,0).$

Q$3-$B$.$ Scale the line joining the points $(2,6)$ and $(6,8)$ by $2$ in the $x$ direction and $0\mathrm{.}5$ in the $y$ direction.

Q$\mathrm{.}3-$C Using a $3$D transformation matrix reflects the point $(2,6)$ in the $x-$ axis

Q$4.$ Given a triangular of four vertices $A(2,2),B(0,0)$ and $C(2,0).$ Apply the shearing to the rectangular with Shx$=2$ and Shy$=2.$