REFLECTION OVER X AXIS

Reflection over x-axis

The rule of reflection about x-axis is

(x, y) ==> (x, -y)

What is preimage ?

Preimage In a transformation, the original figure is called the preimage.

What is image ?

Image In a transformation, the final figure is called the image.

Problem 1 :

Reflection across the x-axis T(2, 2), C(2, 5), Z(5, 4), F(5, 0)

Solution :

Rule : 

(x, y) ==> (x , -y)

T (2, 2)  ==> T' (2, -2)

C (2, 5)  ==> C' (2, -5)

Z (5, 4)  ==> Z' (5, -4)

F (5, 0)  ==>  F'(5, 0)

Graph the image of the figure using the transformation given

Problem 2 :

reflection across the x-axis

Solution :

By observing the figure, coordinates of the vertices are

I (-1, -1), X (-3, -5) and W (-4, 0)

I (-1, -1)  ==>  I' (-1, 1)

X (-3, -5)  ==>  X' (-3, 5)

W (-4, 0)  ==>  W'(-4, 0)

Problem 3 :

reflection across the x-axis 

Solution :

By observing the figure, coordinates of the vertices are

T (0, 2), R (2, -1) and I (4, -4)

T (0, -2)  ==>  T' (0, 2)

R (2, -1)  ==>  R' (2, 1)

I (4, -4)  ==>  I'(4, 4)

Problem 4 :

Reflection across the x-axis X (2, 2)

Solution :

Rule : 

(x, y) ==> (x , -y)

Problem 5 :

reflection across the x-axis K (1, -2), L (2, -2), M (3, -4)

Solution :

Rule : 

(x, y) ==> (x , -y)

K (1, -2) ==> K' (1, 2)

L (2, -2) ==> L' (2, 2)

M (3, -4) ==> M' (3, 4)