Question
Michelle is facing west and Rebecca is facing Northwest. They both make a half turn to their left. What do they need to do so they both face North
Answers
GPT-4o mini
To determine what Michelle and Rebecca need to do to face North after making a half turn to their left, let's break down their initial positions and the turns they make:
1. **Michelle starts facing West:**
- After making a half turn to her left (which is a turn of 180 degrees), she will be facing East.
2. **Rebecca starts facing Northwest:**
- Northwest is halfway between North and West. After making a half turn to her left, she will be facing Southeast.
Now, to both end up facing North:
- **Michelle (currently facing East)** would need to turn **90 degrees to her left** (or a quarter turn) to face North.
- **Rebecca (currently facing Southeast)** would need to turn **135 degrees to her left** (or a one-and-a-half quarter turn) to face North.
So, for both of them to face North after their half turns:
- Michelle should turn **90 degrees to the left**.
- Rebecca should turn **135 degrees to the left**.
This would allow both of them to face North.
1. **Michelle starts facing West:**
- After making a half turn to her left (which is a turn of 180 degrees), she will be facing East.
2. **Rebecca starts facing Northwest:**
- Northwest is halfway between North and West. After making a half turn to her left, she will be facing Southeast.
Now, to both end up facing North:
- **Michelle (currently facing East)** would need to turn **90 degrees to her left** (or a quarter turn) to face North.
- **Rebecca (currently facing Southeast)** would need to turn **135 degrees to her left** (or a one-and-a-half quarter turn) to face North.
So, for both of them to face North after their half turns:
- Michelle should turn **90 degrees to the left**.
- Rebecca should turn **135 degrees to the left**.
This would allow both of them to face North.