GeometrySmallLogo
Compositions (Sequences)
of Transformations
MathBitsNotebook.com

Topical Outline | Geometry Outline | MathBits' Teacher Resources

Terms of Use    Contact Person: Donna Roberts
divider
Practice Page
Directions: Grab paper (graph paper) and pencil.

1.
Starting with point A (-4, -5), which single translation will produce the same image as the following sequence of translations:
(x, y) → (x - 1, y + 5), followed by
(x, y) → (x + 4, y + 2), followed by
(x, y) → (x - 5, y - 7) ?
Choose:
(x, y) → (x - 6, y - 5)
(x, y) → (x - 2, y)
(x, y) → (x - 1, y + 2) (x, y) → (x - 5, y)
red2

 

 

2.
Write a rule for the composition (sequence) of a reflection in the x-axis following a translation of 7 units to the left and 3 units up.
Choose:
tp3aa
tp3bb
tp3c
tp3d
red1

 

 

3.
Given rectangle MULE:
M(1,2), U(1,5), L(8,5), E(8,2)
a) Graph and label the following composition (sequence):
     tp33
b) What single transformation accomplishes      these same transformations?
mule

 

 

4.
Triangle ABC has vertices A(-1,1), B(2,3) and C(-1,-4). Which composition (sequence) of transformations will move vertex B to the point (-2,5)?
Choose:
tp4a
tp4b
tp4c
All of these compositions (sequences).
red5

 

 

5.
Given the graph at the right with
B(-6,1), U(-3,7), G(-2,1) and
B'(0,-6), U'(6,-3), G'(0,-2).

Describe a sequence of transformations that was used to carry ΔBUG onto ΔB'U'G'.
TCbug

 

 

6.
A double reflection occurs on the point S(-4,3) over the line x = -2, followed by the line x = 8. What is the distance between the pre-image and the image of point S?
 Choose:
8 units
10 units
12 units
20 units
red3

 

 

7.
You are a contestant on the TV show "Whodunit". You are searching for a key to unlock a "Safe Card" that will save you from being killed on this week's episode. The writer for this week's show is a mathematician! Your clues relate to a coordinate map. What are the coordinates for the location of the key?

Here are the three clues you have found:

clue1clue2clue3

 

 

8.
ΔA''B''C'' is a glide reflection of ΔABC, as shown in the graph at the right. Which statement represents the glide reflection in this situation?

Choose:
glide1
glide2
transcombnew glide4
TCglide

 

 

9.
Point A is mapped to point A' (-1,4) after a translation of (x, y) → (x - 4, y + 1) following a reflection over y = 4.
What are the coordinates of A?
Choose:
(3,3)
(3,5)
(1,3)
(3,-1)
red4

 

 

10.
Which composition of transformations will map ΔABC onto ΔA'B'C' ?
Dilations and rotations are centered at the origin.
Choose:
rotatenew3
rotatenew4
rotatenew5
rotatenew6
com10

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
 and is not considered "fair use" for educators. Please read the "Terms of Use".