The composition of rigid motions Upper T Subscript left angle 23 comma 3 right angleT23,3circle◦Upper T Subscript left angle negative 17 comma negative 7 right angleT−17,−7 describes the route of a limousine in a city from its starting position. Describe the route in words. Assume that the positive​ y-axis points north.

Question

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Part 1
First the limousine drives 2323 ​block(s)
east
and 33 ​block(s)
north,
and then it drives 1717 ​block(s)
west
and 77 ​block(s)
south.
​(Type whole​ numbers.)

Answer 1

To describe the route of the limousine using the given rigid motions, we can break it down step by step:

1. First Movement:

   • The limousine drives 23 blocks east. This means it moves horizontally to the right from its starting position.
   • Then, it drives 3 blocks north. This means it moves vertically upward from its new position after moving east.

2. Second Movement:

   • After reaching its position from the first movement, the limousine then drives 17 blocks west. This means it moves horizontally to the left, moving back towards its original east-west starting line.
   • Finally, it drives 7 blocks south. This means it moves vertically downward to finish its route.

Complete Route in Words: The limousine first drives 23 blocks east and then 3 blocks north. Next, it drives 17 blocks west and finally 7 blocks south.