Ms. Salemi is organizing a scavenger hunt for her math classes. She creates a map of...

 

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Ms. Salemi is organizing a scavenger hunt for her math classes. She creates a map of the town center, where the scavenger hunt will take place. The classes are divided into 3 teams - the red team, the orange team, and the purple team. P Street, Q Street, and R Street are all parallel. Water Street and Main Street intersect at a point on R Stree. The measure of 24 is 82 and the measure of 212 is 67. 1. Ms. Salemi wants to put clues for the red team at every intersection that forms an 82 angle. a. Which angle(s) are congruent to 24 by the Corresponding Angles Theorem? Water St. Main St. 9 10 P St. 4 . 12/11 13/14 16/15 Q St 56 B 7 18 17 19 21/20 R St. b. Which angle(s) are congruent to 24 by the Alternate Interior Angles Theorem? c. What other angles measure 82? Justify your responses. 2. Each intersection that forms a 113 angle will have a clue for the orange team. Which angles will require clues for the orange team? 3. The purple team is the only team with a clue at the angle that is an alternate exterior angle to 211, but not congruent to it. Which angle is this? Explain why the angle is not congruent to 211. 4. All teams will start and finish at the angle that measures 31. What corner has this measure? Explain. Ms. Salemi is organizing a scavenger hunt for her math classes. She creates a map of the town center, where the scavenger hunt will take place. The classes are divided into 3 teams - the red team, the orange team, and the purple team. P Street, Q Street, and R Street are all parallel. Water Street and Main Street intersect at a point on R Stree. The measure of 24 is 82 and the measure of 212 is 67. 1. Ms. Salemi wants to put clues for the red team at every intersection that forms an 82 angle. a. Which angle(s) are congruent to 24 by the Corresponding Angles Theorem? Water St. Main St. 9 10 P St. 4 . 12/11 13/14 16/15 Q St 56 B 7 18 17 19 21/20 R St. b. Which angle(s) are congruent to 24 by the Alternate Interior Angles Theorem? c. What other angles measure 82? Justify your responses. 2. Each intersection that forms a 113 angle will have a clue for the orange team. Which angles will require clues for the orange team? 3. The purple team is the only team with a clue at the angle that is an alternate exterior angle to 211, but not congruent to it. Which angle is this? Explain why the angle is not congruent to 211. 4. All teams will start and finish at the angle that measures 31. What corner has this measure? Explain.