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