Reflection of a Point in x-axis, y-axis and origin calculator

SolutionMethods

1. Find Reflection of points

$A(-2,-2), B(-1,2), C(3,1)$ and Reflection about x-axis

2. Find Reflection of points

$A(-1,-1), B(1,5), C(2,8)$ and Reflection about x-axis

3. Find Reflection of points

$A(-3,2), B(1,2), C(-3,5)$ and Reflection about y-axis

4. Find Reflection of points

$A(2,3), B(7,4), C(8,7), D(3,6)$ and Reflection about y-axis

5. Find Reflection of points

$A(1,-1), B(-2,2), C(4,8), D(7,5)$ and Reflection about origin

6. Find Reflection of points

$A(3,0), B(4,5), C(-1,4), D(-2,-1)$ and Reflection about x-axis, y-axis

7. Find Reflection of points

$A(0,0), B(2,2), C(0,4), D(-2,2)$ and Reflection about x-axis, y-axis, origin

Example

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 :

$R_(O)(x,y)=(-x,-y)$

$A''(0,0),B''(-2,-2),C''(0,-4),D''(2,-2)$

$:. A'''(0,0),B'''(2,2),C'''(0,4),D'''(-2,2)$