PROBLEMS ON REFLECTION OVER X AXIS

Find the coordinates of the vertices of each figure after the given transformation.

Problem 1 :

Reflection across x axis.

Solution :

By observing the figure, coordinates of the vertices are

B (-3, -1), W (-4, 2), Y (-1, 1) and Z (-2, 3)

B (-3, -1) ==> B’ (-3, 1)

W (-4, 2) ==> W’ (-4, -2)

Y (-1, 1) ==> Y’ (-1, -1)

Z (-2, 3) ==> Z’ (-2, -3)

Problem 2 :

Reflection across x axis.

Solution :

By observing the figure, coordinates of the vertices are

V (-1, 5), R (-3, 3) and C (0, 0)

V (-1, 5) ==> V’ (-1, -5)

R (-3, 3) ==> R’ (-4, -3)

C (0, 0) ==> C’ (0, 0)

Problem 3 :

Reflection across x axis.

Solution :

By observing the figure, coordinates of the vertices are

R (-3, 2), Z (0, 2), Y (2, -2) and J (-1, -3)

R (-3, 2) ==> R’ (-3, -2)

Z (0, 2) ==> Z’ (-4, -2)

Y (2, -2) ==> Y’ (-1, 2)

J (-1, -3) ==> J’ (-2, 3)

Problem 4:

Reflection across x axis.

Solution :

By observing the figure, coordinates of the vertices are

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

W (-4, 0) ==> W’ (-4, 0)

I (-1, -1) ==> I’ (-1, 1)

X (-3, -5) ==> X’ (-3, 5)

Problem 5 :

Reflection across x axis.

Solution :

By observing the figure, coordinates of the vertices are

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

R (2, -1) ==> R’ (2, 1)

T (0, -2) ==> I’ (0, 2)

I (4, -4) ==> X’ (4, 4)

Problem 6 :

Reflection across x axis.

Solution :

Making the point T (-4, 3). Reflection of T across x-axis is

T’ (-4, -3)

Problem 7 :

Reflection across x axis.

Solution:

Making the point K (2, -2). Reflection of K across x-axis is

K’ (2, 2)

Problem 8 :

Reflection across the x-axis

K (1, -2) L (2, -2) and 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)

Problem 9 :

Reflection across the x-axis

A (-1, -5), B (-2, -2), C (-1, 0) and D (3, -2)

Solution :

Rule:

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

A (-1, -5) ==> A’ (-1, 5)

B (-2, -2) ==> B’ (-2, 2)

C (-1, 0) ==> C’ (-1, 0)

D (3, -2) ==> D’ (3, 2)