Question

If points Q and reflections of point P (−3, 4) in X and Y axes respectively, what is QR?

 

Answer 1

We have to find the reflection of (−3, 4) along x-axis and y-axis.

Reflection of any pointP(a, b) along x-axis is( a , b) 

So reflection of (−3, 4) along x-axis is Q ( -3 , - 4) 

Similarly, reflection of any point P ( a , b) along y-axis is  ( -a , b) 

So, reflection of (−3, 4) along y-axis is  R ( 3 , 4) 

Therefore,

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

      ` =sqrt(36+ 64)`

     ` = sqrt( 100) `

    `= 10 `