REFLECTION OVER X AXIS WORKSHEET

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

Problem 1 :

Reflection across x axis.

Solution

Problem 2 :

Reflection over x-axis.

Solution

Problem 3 :

Reflection across x axis.

Solution

Problem 4 :

Reflection across x axis.

Solution

Problem 5 :

Reflection across x axis.

Solution

Problem 6 :

Reflection across x axis.

Solution

Problem 7 :

Reflection across x axis.

Problem 8 :

Reflection across the x-axis

K (1, -2) L (2, -2) and M (3, -4)

Solution

Problem 9 :

Reflection across the x-axis

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

Solution

Problem 10 :

Graph △ABC with vertices A(3, 2), B(6, 3), and C(7, 1) and its image after the glide reflection.

Translation: (x, y) → (x − 12, y)

Reflection: in the x-axis

Solution

Problem 11 :

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither

Solution

Problem 12 :

Determine whether the coordinate plane shows a reflection in the x-axis, y-axis, or neither

Solution

Problem 13 :

Graph triangle with vertices A(-1, 4) B(2, -1) and C(4, 3) and its image after the glide reflection.

Translation (x, y) ==> (x + 2, y - 1)

Reflection : in the line y = x

Solution

Problem 14 :

Graph triangle with vertices A(-1, 4) B(2, -1) and C(4, 3) and its image after the glide reflection.

Translation (x, y) ==> (x - 3, y + 1)

Reflection : in the line y = -x

Solution

Graph the image of the figure using the transformation given.

Problem 1 :

Reflection across y = −2

H (−1, −5), M (−1, −4), B (1, −2), C (3, −3)

Solution

Problem 2 :

Graph the image of the figure using the transformation given.

 reflection across y = 2

Solution

Problem 3 :

Graph the image of the figure using the transformation given

Reflection across y = 1

Solution

Problem 4 :

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

Reflection across y = −1

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

Solution

Graph the image of the figure using the transformation given.

Problem 1 :

Reflection across the y-axis

Solution

Problem 2 :

Reflection across the x-axis U (-3, 1)

Problem 3 :

reflection across the y-axis

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

Solution

Graph the image of the figure using the transformation given.

Problem 4 :

Reflection across the y-axis.

Solution

Problem 5 :

Reflection across the y-axis D(-2, -3), E(2, -2), F(3, -4)

Solution

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

Problem 6 :

Reflection across the y-axis K(1, −1), N(4, 0), Q(4, −4)

Solution

Problem 7 :

Write a rule to describe each transformation. 

Solution

Problem 8 :

The coordinates of a point and its image are given. Is the reflection in the x-axis or y-axis?

a) (2, −2) ==> (2, 2)

b) (−4, 1) ==> (4, 1)

c) (−2, −5) ==> (2, −5)

d) (−3, −4) ==> (−3, 4)

Solution

Problem 9 :

Graph the polygon and its image after a reflection in the given line.

x - axis 

Solution

Problem 10 :

Graph the polygon and its image after a reflection in the given line.

y = −1

Solution

Problem 11 :

Translate the triangle 1 unit right and 5 units down. Then reflect the image in the y-axis

Solution