Name: ______Period: _____Date: ______

Reflections

Reminder: a reflection is a “flip” of the figure across a line of reflection. The line of reflection could be the x-axis, y-axis, or any other line of reflection.

1. Graph the original points given in the table below. Then, reflect each point over the x- axis.

Original Image / Process
(What is happening to each coordinate?) / New Image
A (-2, 4)
B (1, 2)
C (-1, -2)
D (-5, 3)

What do you notice about the coordinate that is changing compared to the line it’s reflecting over?

______

2. Graph the original points given in the table below. Then, reflect each point over the y-axis.

Original Image / Process
(What is happening to each coordinate?) / New Image
A (-2, 4)
B (1, 2)
C (-1, -2)
D (-5, 3)

What do you notice about the coordinate that is changing compared to the line it’s reflecting over?

______

3. How does the original image compare to the new image?

- Length of sides?- Angle measurements?

- Perimeter?- Area?

4. Given the following information, name the line of reflection:

A. (3, 5) becomes (-3, 5) This image was reflected over the ______because ______

______.

B. (-4, 6) becomes (-4, -6) This image was reflected over the ______because ______

______.

Challenge…Something to reflect on! (Ha ha ha!!!)

5. After reflecting Point K over the y-axis, Point K’ is now located at (-4.5, 3). What was the location of Point K?

6. The table below describes a reflection of a quadrilateral. Complete the table using the information provided.

L ( , ) / L’ (-4, -5)
M (1, ____) / M’ ( ____ , -5)
N (3, -3) / N’ (3, 3)
O ( , ) / O (-4, 3)

7. Reflect quadrilateral QRST over line a.