The points P (1,-1 ), Q ( 4,-1) and R ( 4, 3) are reflected in y-axis. If the images are denoted byP' , Q' , and R' , then

(i) Find the co-ordinates of P'Q'R' , Q' and R'

(ii) What kind of figure is formed by RR' Q' Q?

(iii) Find the perimeter of the figure P'Q'R'

#### Solution

**(i)** Find the co-ordinates of P'Q'R' , Q' and R'

The co-ordinates are: P'Q'R' = (-1,-l );Q' = (-4,-l );R' = (-4, 3)

**(ii) **What kind of figure is formed by RR' Q' Q?

A rectangle is formed by RR' Q' Q.

**(iii) **Find the perimeter of the figure P'Q'R'

The figure is a right angled triangle with sides 4 units, 3 units and 5 units.

Here, height= 4 units, base = 3 units and

Hypotenuse = `(sqrt 4^2 + 3^2)`

= `sqrt (16 + 9)`

= `sqrt 25`

= 5 units

Perimeter = height+ base + hypotenuse

= 4 + 3 + 5

= 12 units