Supplementary Learning Exercises for Section 22.4
Glide
1. Name the four types of isometries, translation, reflection, rotation, reflection
2. In the composition, (reflection in line x) \circ (translation 2 ft west), which rigid motion is
done first?
3. Name the single type of rigid motion that each of these composition gives. Describe
the rigid motion as fully as you can.
a. (translation 4 in. south) \circ (translation 6 in. north)
b. (translation 6 in. north) \circ (translation 4 in. south)
c. (rotation, 58° clockwise, C) \circ (rotation, 68° counterclockwise, C)
d. (rotation 68° counterclockwise, C) \circ (rotation 58° clockwise, C)
4. What single type of rigid motion gives each lettered shape as the image of the given one?
(A)
(B)
Given:
(C)
5. a. Line k and vector v are on parallel lines.
Find the image of shape S for
(reflection in line k) \circ (translation with
vector v).
(E)
(D)
5. a. Copy and find the image of shape PQRS for the glide-reflection given by the
translation with vector w and the reflection in line m. Use paper-tracing if you wish.
m
P
w
R