PROBLEMS ON REFLECTION OVER HORIZONTAL AND VERTICAL LINE

Problem 1 :

Reflection across y = -1

R (-3, -5), N (-4, 0), V (-2, -1) E (0, -4)

Solution :

Plotting the points and creating the sides.

How to get R’?

To reach R from y = -1, we move down 4 unit. So, to reach the reflection of R, that is R’ we have to move up 4 unit.

R (-3, -5) ==> R’ (-3, 3)

How to get N’?

To reach N from y = -1, we move up 1 unit. So, to reach the reflection of N, that is N’ we have to move down 1 unit.

N (-4, 0) ==> N’ (-4, -2)

How to get V’?

Distance between y = -1 and V is 0 unit. So, the same point is V’.

V and V’ are the same.

How to get E’?

To reach E from y = -1, we move down 3 unit. So, to reach the reflection of E, that is E’ we have to move up 3 unit.

E (0, -4) ==> E’ (0, 2)

Problem 2 :

Reflection across x = 3

F (2, 2), W (2, 5), K (3, 2)

Solution :

Plotting the points and creating the sides.

How to get F’?

To reach F from x = 3, we move left 1 unit. So, to reach the reflection of F, that is F’ we have to move right 1 unit.

F (2, 2) ==> F’ (4, 2)

How to get K’?

Distance between x = 3 a nd K is 0 unit. So, the same point is K’.

K and K’ are the same.

How to get W’?

To reach W from x = 3, we move left 1 unit. So, to reach the reflection of W, that is W’ we have to move right 1 unit.

W (2, 5) ==> W’ (4, 5)

Problem 3 :

Reflection across x = -1

V (-3, -1), Z (-3, 2), G (-1, 3), M (1, 1)

Solution :

Plotting the points and creating the sides.

How to get V’?

To reach V from x = -1, we move left 2 unit. So, to reach the reflection of V, that is V’ we have to move right 2 unit.

V (-3, -1) ==> V’ (1, -1)

How to get Z’?

To reach Z from x = -1, we move left 2 unit. So, to reach the reflection of Z, that is Z’ we have to move right 2 unit.

Z (-3, 2) ==> Z’ (1, 2)

How to get G’?

Distance between x = -1 and G is 0 unit. So, the same point is G’.

G and G’ are the same.

How to get M’?

To reach M from x = -1, we move right 2 unit. So, to reach the reflection of M, that is M’ we have to move left 2 unit.

M (1, 1) ==> M’ (-3, 1)

Problem 4 :

Reflection across x = 3

Solution :

By observing the triangle given above,

A (1, 1), B (4, 4) and C (3, 0)

How to get A’?

To reach A from x = 3, we move left 2 unit. So, to reach the reflection of A, that is A’ we have to move right 2 unit.

A (1, 1) ==> A’ (5, 1)

How to get B’?

To reach B from x = 3, we move right 1 unit. So, to reach the reflection of B, that is B’ we have to move left 1 unit.

B (4, 4) ==> B’ (2, 4)

How to get C’?

Distance between x = 3 and C is 0 unit. So, the same point is C’.

C and C’ are the same.