Shadowdude
Cult of Personality
- Joined
- Sep 19, 2009
- Messages
- 12,141
- Gender
- Male
- HSC
- 2010
If anyone has the Couchman and Jones book, it's Question 13 and 14 in Exercise 21-3, Book 2 (the blue one).
For question 13, would it be legal to write:
Constructing another concentric circle with the arc CD, where CD is a chord in the circle, we can see that OM splits CD in half, therefore CM=MD.
Then for question 14:
Constructing a larger concentric circle with the arc and chord PQ, we see that OZ splits PQ in half, therefore PZ=QZ.
In general, are you allowed to assume things for circle geometry? For example, if you have a secant with labeled points X and Y for example, are you allowed to say "In the larger concentric circle with an arc and chord XY..." and start working from there on?
Or is that cheating...
For question 13, would it be legal to write:
Constructing another concentric circle with the arc CD, where CD is a chord in the circle, we can see that OM splits CD in half, therefore CM=MD.
Then for question 14:
Constructing a larger concentric circle with the arc and chord PQ, we see that OZ splits PQ in half, therefore PZ=QZ.
In general, are you allowed to assume things for circle geometry? For example, if you have a secant with labeled points X and Y for example, are you allowed to say "In the larger concentric circle with an arc and chord XY..." and start working from there on?
Or is that cheating...
