Question

The point P(3,4) is reflected to $P^{{}^{\prime }}$ in the x-axis and $O^{{}^{\prime }}$ is the image of O(the origin) when reflected in the line $P{P}^{{}^{\prime }}$. Using Graph paper give :
1) The coordinates of $P^{{}^{\prime }}$ and $O^{{}^{\prime }}$
2) The length of segments $P{P}^{{}^{\prime }}$ and $O{O}^{{}^{\prime }}$
3) The perimeter of the quadrilateral $PO{P}^{{}^{\prime }}{O}^{{}^{\prime }}$
4) Geometrical name of the figure $PO{P}^{{}^{\prime }}{O}^{{}^{\prime }}$

Answer 1

Using Graph Paper

$1)P^{\prime }=(3,-4);O^{\prime }=(6,0)$

$2)P{P}^{\prime }=8;O{O}^{\prime }=6$

$3)Perimeter=20$

$4)Square$