(i) The steps for finding the co-ordinates are:
(a) Draw axis XOX’ and YOY’ and take
![\[1\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-64318110f3a374fb786ef713c0b0c575_l3.png "Rendered by QuickLaTeX.com")
cm =
unit.
(b) Plot point P
![\[\left( \mathbf{2},\text{ }\mathbf{4} \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-f42917fa2cc28c43f9d866770eb64876_l3.png "Rendered by QuickLaTeX.com")
on it.
(c) Draw a line y =
, which is parallel to x-axis.
(d) From P, draw a perpendicular on y =
meeting it at Q.
(e) Produce PQ to P’ such that QP’ = PQ.
Therefore, P’ is the reflection of P whose co-ordinates are
![\[(2,-2)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-dc358f96a55ef3c1f8eb189b911e6546_l3.png "Rendered by QuickLaTeX.com")
.
(ii) The steps for finding the co-ordinates are:
(a) Draw axis XOX’ and YOY’ and take
cm =
unit.
(b) Plot point P
![\[\left( \text{ }-\mathbf{3},\text{ }-\mathbf{5} \right)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e7fa7ad819b19195feea533cd1e73687_l3.png "Rendered by QuickLaTeX.com")
on it.
(c) Draw a line y =
![\[-2\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-e9d08fbe629fe6b5dfacd369fab215e0_l3.png "Rendered by QuickLaTeX.com")
which is parallel to the x-axis.
(d) From P, draw a perpendicular on y =
which meets it at Q.
(e) Produce PQ to P’ such that QP’ = PQ.
Therefore, P’ is the image of P, whose co-ordinates are
![\[(-3,1)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-fbec65a4dd1c705e42a892df13f9289f_l3.png "Rendered by QuickLaTeX.com")
.
