12.1 Review Worksheet (continued)
32. The CN Tower in Toronto, Canada, features a revolving restaurant that takes 72 minutes to complete a full rotation. A table that is 50 feet from the center of the restaurant starts at position (50, 0). What are the coordinates of the table after 6 minutes? Round coordinates to the nearest tenth.
12.1.4 Compositions of Transformations Draw the result of each composition of isometries 33. Translate △ RST along u and then translate it along v .
34. Rotate △ ABC 90° about point P and then reflect it across line l.
v ⇀
R
u ⇀
S
T
35. △ GHJ has vertices G (1, − l), H (3, l), and J (3, − 2). Reflect △ GHJ across the line y = x and then reflect it across the x -axis.
36. In chess, a knight moves in the shape of the letter L. The piece moves two spaces horizontally or vertically. Then it turns 90° in either direction and moves one more space. a. Describe a knight’s move as a composition of transformations.
b. Copy the chessboard with the knight. Label all the positions the knight can reach in one move.
c . Label all the positions the knight can reach in two moves.
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