1. Reflection of Points in x-axis, y-axis and origin
1. Find Reflection of points`A(-2,-2), B(-1,2), C(3,1)` and Reflection about `X`
Solution:
Reflection about X-axis : `R_(X)(x,y)=(x,-y)`
`A(-2,-2),B(-1,2),C(3,1)`
`:. A'(-2,2),B'(-1,-2),C'(3,-1)`
2. Find Reflection of points`A(-1,-1), B(1,5), C(2,8)` and Reflection about `X`
Solution:
Reflection about X-axis : `R_(X)(x,y)=(x,-y)`
`A(-1,-1),B(1,5),C(2,8)`
`:. A'(-1,1),B'(1,-5),C'(2,-8)`
3. Find Reflection of points`A(-3,2), B(1,2), C(-3,5)` and Reflection about `Y`
Solution:
Reflection about Y-axis : `R_(Y)(x,y)=(-x,y)`
`A(-3,2),B(1,2),C(-3,5)`
`:. A'(3,2),B'(-1,2),C'(3,5)`
4. Find Reflection of points`A(2,3), B(7,4), C(8,7), D(3,6)` and Reflection about `Y`
Solution:
Reflection about Y-axis : `R_(Y)(x,y)=(-x,y)`
`A(2,3),B(7,4),C(8,7),D(3,6)`
`:. A'(-2,3),B'(-7,4),C'(-8,7),D'(-3,6)`
5. Find Reflection of points`A(1,-1), B(-2,2), C(4,8), D(7,5)` and Reflection about `O`
Solution:
Reflection about origin : `R_(O)(x,y)=(-x,-y)`
`A(1,-1),B(-2,2),C(4,8),D(7,5)`
`:. A'(-1,1),B'(2,-2),C'(-4,-8),D'(-7,-5)`
6. Find Reflection of points`A(3,0), B(4,5), C(-1,4), D(-2,-1)` and Reflection about `X,Y`
Solution:
Reflection about X-axis : `R_(X)(x,y)=(x,-y)`
`A(3,0),B(4,5),C(-1,4),D(-2,-1)`
`:. A'(3,0),B'(4,-5),C'(-1,-4),D'(-2,1)`
Reflection about Y-axis : `R_(Y)(x,y)=(-x,y)`
`A'(3,0),B'(4,-5),C'(-1,-4),D'(-2,1)`
`:. A''(-3,0),B''(-4,-5),C''(1,-4),D''(2,1)`
7. Find Reflection of points`A(0,0), B(2,2), C(0,4), D(-2,2)` and Reflection about `X,Y,O`
Solution:
Reflection about X-axis : `R_(X)(x,y)=(x,-y)`
`A(0,0),B(2,2),C(0,4),D(-2,2)`
`:. A'(0,0),B'(2,-2),C'(0,-4),D'(-2,-2)`
Reflection about Y-axis : `R_(Y)(x,y)=(-x,y)`
`A'(0,0),B'(2,-2),C'(0,-4),D'(-2,-2)`
`:. A''(0,0),B''(-2,-2),C''(0,-4),D''(2,-2)`
Reflection about origin : `R_(O)(x,y)=(-x,-y)`
`A''(0,0),B''(-2,-2),C''(0,-4),D''(2,-2)`
`:. A'''(0,0),B'''(2,2),C'''(0,4),D'''(-2,2)`
This material is intended as a summary. Use your textbook for detail explanation.
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