Question

how do you see it? you and your friend walk in opposite directions, forming opposite rays. you were both originally at the corner of apple avenue and cherry court. a. name two possibilities for your headings. first possibility. you headed north on cherry court and your friend headed on second possibility. you headed east on apple avenue and your friend headed on b. your friend claims he went north on cherry court, and you went east on apple avenue. how do you know this could not have happened? you cannot both start in the same location. both of your paths must end at the same point.

Explanation:

Step1: Recall opposite - direction concept

Opposite directions for streets mean if one goes north on a street, the other goes south on the same street; if one goes east on a street, the other goes west on the same street.

Step2: Answer part a

First possibility: If you headed north on Cherry Court, your friend headed south on Cherry Court. Second possibility: If you headed east on Apple Avenue, your friend headed west on Apple Avenue.

Step3: Answer part b

Opposite rays (opposite - direction paths starting from the same point) must be on the same line (same street). North on Cherry Court and east on Apple Avenue are not opposite directions as they are on different non - collinear streets.

Answer:

a. First possibility: south, Cherry Court; Second possibility: west, Apple Avenue
b. Opposite directions must be on the same street, and north on Cherry Court and east on Apple Avenue are on different non - collinear streets.