Short Answers of Transformations(Mathematics B /4MB1)

 Transformations (2014-2016)

1.   (a) Triangle A drawn and labelled (b)(i) $\left(\begin{array}{ccc}2 & 4 & 6 \\0 & 6 & 4\end{array}\right) \quad$ (ii) Triangle B drawn and labelled (c) (i) $\left(\begin{array}{ccc}0 & -3 & -2 \\2 & 4 & 6\end{array}\right)$ (ii) Triangle  C  drawn and labelled (d)(i) $\left(\begin{array}{ccc}1 & 2 & 3 \\0 & -3 & -2\end{array}\right)$ (ii) Triangle D drawn and labelled (e) Reflection in $x-axis$
2.   (a) triangle $A B C$ (b) $\left(\begin{array}{ccc}-4 & -5 & -4 \\ 3 & 1 & 1\end{array}\right)$ (c) triangle $A^{\prime} B^{\prime} C^{\prime}$ (d). reflection; $y=-x$ (e)one vertex correctly identified. triangle $A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ correct (f) reflection, $y=x+3$
3.   (a) Triangle $A$ draw and labelled (b) Triangle $B\left(\begin{array}{ccc}2 & 4 & 4 \\ -2 & -2 & -1\end{array}\right)$ (c) $C(-4,4),(-8,4),(-8,2)$ (d) Triangle $C$ drawn and labelled (e) scale factor $=2 \quad$ (f) Triangle $D=\left(\begin{array}{ccc}-4 & -8 & -8 \\ 9 & 9 & 7\end{array}\right)$ (g) enlargement centre $(0,5)$ with scale facter -2
4.   (a) Triarigle $P$ drawn and labelled (b) $y=-1$ drawn and labelled (c) Triangle $Q$ drawn and labelled $(-5,2)(-5,4)(-2,2)$ (d) Triangle $R$ drawn and labelled $(3,1)(1,7)(0,4)$ (e) Triangle $S$ drawn and labelled $(7,-11)(5,-5)(4,-8)$ (f) Triangle $T$ drawn and labelled $(-5,-2)(-5,0)(-2,-2)$ (g) Reflection $y=-3$
5.   (a) $A$ drawn $\&$ labelled (b) $B(-1,0),(-3,0)(1,-2)$ (c) $B$ drawn and labelled (d) $(-1,-2)(-3,-6)(-1,-6)$ (e) $C$ drawn and labelled (f) Reflection in $y=-x$
6.   (a) Triangle $A$, (b) $y=-1$, (c) Triangle $B$ (d) Triangle $C$ (e) Triangle $D$ (f) Reflection $x=0$ or $y$ axis (g) Enlargement, Scale factor 2 , centre $(0,-4)$
7.   (a) A draw and labeled (b) B draw and labelled (c) C draw and labelled (d) D draw and labeled. (e) Reflection in $x$-axis
8.   $(-3,5)$
9.   (a) $(-1,-1) \quad$ (b) $\left(\begin{array}{ccc}-3 & -5 & -6 \\ 1 & 4 &  \end{array}\right)$ (c) $A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ (d) Reflection , $x=-1$
10.   $\theta=180, a=1$ or $x=1$
11.   (a) $\triangle ABC drawn$ (b) $\left(\begin{array}{ccc}4 & 6 & 8 \\ 0 & 0 & 3\end{array}\right)$ (c) $\triangle A^{\prime} B^{\prime} C^{\prime}$ draw (d) $\triangle A^{\prime} B^{\prime} C^{\prime}=\left(\begin{array}{ccc}-4 & -6 & -8 \\ -4 & -6 & -2\end{array}\right)$ draw (e) enlargement, centre origin, scale Factor -2 (f) $\left(\begin{array}{cc}-2 & 0 \\ 0 & -2\end{array}\right)$
12.   (a) Rotation, $90^{\circ}$ clockwise, About $(-3,1)$ (b) diagram
13.   (a) $90^\circ$ (b) $\left(\begin{array}{cc}-{0} & {-1} \\ 1 & 0   \end{array}\right)$ (c) $\left(\begin{array}{c}{-1} \\ {-6}  \end{array}\right)$
14.   (a) Diagram (b) Diagram (c) Diagram (d) Rotation, about origin or $(0,0)$ (anticlockwise) $270^{\circ}$ or clock wise $90^{\circ}$ or $-90^{\circ}$