Question

The point P(3, 4) is reflected to P’ in the x-axis and O’ is the image of O (the Origin) in the line PP’ Find :
(i) The coordinates of P’ and O’.
(ii) The length of segment PP’ and OO’.
(iii) The perimeter of the quadrilateral POP’O’
(iv) What is the special name of the quadrilateral POP’O’.

Answer 1

(i) P' (3, -4), O'(6, 0)

(ii) PP'
= `sqrt((3 - 3)^2 + (-4 - 4)^2)`
= `sqrt(64)`
= 8 units
OO'
= `sqrt((0 - 6)^2 + (0 - 0)^2)`
= `sqrt(36)`
= 6 units.
(iii) Perimeter
= 5 + 5 + 5 + 5
= 20 units.
(iv) Rhombus.