Name_____________________________
Practice Compositions of Transformations, Symmetry, Dilations
The endpoints of CD are C(1, 2) and D(5, 4). Graph the image of CD after the glide reflection.
1. Translation: (x, y) → (x – 4, y)
Reflection: in the x-axis
2. Translation: (x, y) → (x, y + 2)
Reflection: in y = x
The vertices of ∆ABC are A(3, 1), B(1, 5), and C(5, 3). Graph the image of ∆ABC after a composition of
the transformations in the order they are listed.
3. Translation: (x, y) → (x + 3, y – 5)
Reflection: in y = -2
4. Translation: (x, y) → (x– 6, y + 1)
Rotation: 90° about the origin
Describe the composition of transformations.
5.
6.
Determine whether the figure has rotational symmetry. If so, describe the rotations that map the figure
onto itself.
7.
8.
9.
Use the lowercase letters of the alphabet.
10. Which letters are reflections of other letters?
11. Draw each letter that has at least one line of symmetry and sketch its line(s) of symmetry. Which
letters have one line of symmetry? Which letters have two lines of symmetry?
12. Which letters have rotational symmetry?
Find the scale factor. Tell whether the dilation is a reduction or an enlargement. Then find the values of
the variables.
13.
14.
Use the origin as the center of the dilation and the given scale factor to find the coordinates of the
vertices of the image of the polygon.
15. k = 3
16. k =
2
3