FROM THE GIVEN POINTS OF REFLECTION FIND THE RULE OF REFLECTION

Problem 1 :

L(0, 1), K(0, 2), J(3, 3), I(5, 1)

to

L'(0, -1), K'(0, -2), J'(3, -3), I'(5, -1)

Solution :

By comparing the corresponding coordinates

L (0, 1) ==> L' (0, -1)

K (0, 2) ==> K' (0, -2)

J (3, 3) ==> J' (3, -3)

I (5, 1) ==>  I' (5, -1)

There is no change in x-coordinate.

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

So,

Reflection across x-axis.

Problem 2 :

H (-3, -5), I (-5, -2), J (-1, -1), K (0, -4)

to

H' (-3, 5), I' (-5, 2), J' (-1, 1), K' (0, 4)

Solution :

By comparing the corresponding coordinates

H (-3, -5) ==> H' (-3, 5)

 I (-5, -2) ==> I' (-5, 2)

J (-1, -1) ==> J' (-1, 1)

K (0, -4) ==>  K' (0, 4)

There is no change in x-coordinate. (x, y) ==> (x, -y)

So,

Reflection across x-axis.

Problem 3 :

P (-4, -3), Q (-1, 1), R (0, -4)

to

P'(-4, 3), Q'(-1, -1), R'(0, 4)

Solution :

By comparing the corresponding coordinates

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

Q (-1, 1) ==> Q' (-1, -1)

R (0, -4) ==> R' (0, 4)

There is no change in x-coordinate. (x, y) ==> (x, -y)

So,

Reflection across x-axis.

Problem 4 :

E (3, 1), F (3, 4), G (5, 1)

to

E' (-1, -3), F' (-4, -3), G' (-1, -5)

Solution :

By comparing the corresponding coordinates

E (3, 1) ==> E' (-1, -3)

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

G (5, 1) ==> G' (-1, -5)

There is no change in x-coordinate. (x, y) ==> (-y, -x)

So,

Reflection across y = -x