REFLECTION OVER Y AXIS WORKSHEET

Graph the image of the figure using the transformation given.

Problem 1 :

Solution

Problem 2 :

Reflection across the y-axis

Y (2, 2)

Solution

Problem 3 :

Reflection on y-axis

Solution

Problem 4 :

Reflection over y-axis.

Solution

Problem 5 :

Reflection across y-axis

Problem 6 :

Reflection across the y-axis

D (-2, -3), E (2, -2) and F (3, -4)

Solution

Problem 7 :

Reflection over y-axis.

Solution

Problem 8 :

Reflection across the y-axis

J (-2, -4), K (-3, -1), L (-1, -1), M (2, -5)

Solution

Problem 9 :

The vertices of a rectangle are A(−4, −3), B(−4, −1), C(−1, −1), and D(−1, −3).

a. Draw the rectangle and its reflection in the x-axis.

b. Draw the rectangle and its reflection in the y-axis.

c. Are the images in parts (a) and (b) the same size and shape? Explain.

Solution

Problem 10 :

The vertices of a quadrilateral are P(−2, 5), Q(−1, −1), R(−4, 2), and S(−4, 4). Draw this quadrilateral and its reflection in the y-axis. What are the coordinates of the image?

Solution

Problem 11 :

Given the point (3, 4), find its reflection over the x-axis.

Solution

Problem 12 :

Given the point (3, 4), find its reflection over the y-axis

Solution

Problem 13 :

For the function f(x) = 2x - 3, graph both f(x) and its reflection over the x-axis on the same set of axes.

Solution

Problem 14 :

Point P is first reflected in x-axis to P′. P′ is then reflected in y-axis to P′′(–2, 5). The coordinates of P are:

(a) (2, 5)      (b) (–2, –5)      (c) (2, –5)      (d) (–5, 2)

Solution

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

Problem 1 :

Reflection across x axis.

Solution

Problem 2 :

Reflection across 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.

Solution

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