The Grinch’s heart has shrunk back to its original small size, and he is trying to steal Christmas again. With his new ACME Rocket Sled he plans to fly past Santa’s sleigh and snag his bag of toys for the children. The Grinch knows that Santa’s path is a straight line. He knows that Santa will take off from a point 5 miles east and 15 miles north of Who-ville, (Who-ville is at the Origin) and head on straight to a point 4 miles west and 12 miles south of Who-ville. Grinch Mountain, where the Grinch plans to take off from, is 5 miles east and 9 miles north of Who-ville. He plans on flying directly towards a secret cave 7 miles west and 3 miles south of Who-ville. It is on this trip that he plans on passing Santa at exactly the right moment to snag the sack of toys!
However, little Cindy-Lou Who plans to save the day using a super powered plane that she received from Santa last year. She will take off from her family mountain home which is 8 miles west and 12 miles north of Who- ville and she will fly directly to her Aunt’s farm which is 12 miles south of Who-ville. On her trip Cindy-Lou will pass the Grinch, take back the sack, then pass Santa’s sleigh and return the toys.
Using a coordinate plane, graph the situation. Label the points of Santa’s sleigh with s1, and s2. The Grinch’s travel points should be labeled with g1 (Grinch Mountain) and g2 (secret cave), and Cindy-Lou’s travel points should be labeled with L1(family mountain) and L2(Aunt’s farm)
1. What are the coordinates of the point that the Grinch will pass Santa?
2. What are the coordinates of the point that Cindy-Lou will pass the Grinch?
What are the coordinates of the point where Cindy-Lou will return the gifts to Santa?