Question

Use a graph paper for this question taking $1cm=1$ unit along both the $x$ and $y$ axis :
(i) Plot the points $A(0,5),B(2,5),C(5,2),D(5,-2),E(2,-5)$ and $F(0,-5)$
(ii) Reflect the points $B,C,D$ and $E$ on the $y$-axis and name them respectively as $B^{\prime },C^{\prime },D^{\prime }$ and $E^{\prime }$.
(iii) Write the coordinates of $B^{\prime },C^{\prime },D^{\prime }$ and $E^{\prime }$.
(iv) Name the figure formed by $BCDE{E}^{\prime }{D}^{\prime }{C}^{\prime }{B}^{\prime }$.
(v) Name a line of symmetry for the figure formed.

Answer 1

(ii) The reflection of a point $(x,y)$ about the $y$-axis will be $(-x,y)$

(iii) Coordinates :
$B^{\prime }(-2,5),C^{\prime }(-5,2),D^{\prime }(-5,-2),E^{\prime }(-2,-5)$
(iv) Th figure formed is an octagon
(v) $x$-axis or $y$-axis