
Directions: Grab paper (graph paper) and pencil. Rotations are centered at the origin unless otherwise stated.
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:



2. 
Write a rule for the composition of a reflection in the xaxis following a translation of 7 units to the left and 3 units up.



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




4. 
Triangle ABC has vertices A(1,1), B(2,3) and C(1,4). Which composition of transformations will move vertex B to the point (2,5)?
Choose:



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'.



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 preimage and the image of point S?
Choose:




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?



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?



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



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