Question

A point R (3,-2) is reflected in the origin as R'. Point Q (-7, 1) is reflected in the x-axis as Q'. Write down the co-ordinates of R' and Q'. Calculate the distance R' Q'.

Answer 1

R = (3,-2). Therefore, reflection of R in the origin is R' = (-3, 2)

Q = ( -7, 1 ). Therefore, reflection of Q in the x-axis is Q' = ( -7,-1) 

Distance between R' Q' = `sqrt ((-7-(-3))^2 + (-1-2)^2)`

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

= `sqrt (16 + 9)`

= `sqrt 25`

= 5 units