The beauty of geometry is that there are so many different interesting problems. Some problems involve a number of strategies.
For starters look at what you are given and what you want to find. What you want is a numeric path from the given to the end so look for obvious consequences of the given. Now go to the end and work backwards - I can figure out this number if I only knew that number. I find working backwards is a great strategy.
In order to work the above you need to look at your toolbox. If there are right triangles will you use Pythagoras or trigonometry or something else. Can you draw a line to make a right triangle? If there is a circle then thing of your circle rules. Think of your other tools: parallel lines; vertical angles etc.
If it is a good problem nothing is obvious. To see what needs to be done get some paper and coloured pencils and start drawing. At some point a potential solution will seem to emerge. If that solution doesn’t work then you can eliminate it but don’t forget it as changing it a little may yield a solution.
I hope this helps. The best way to become a geometry problem solver is to work lots of problems and develop your own strategies.
Answers & Comments
Answer:
The beauty of geometry is that there are so many different interesting problems. Some problems involve a number of strategies.
For starters look at what you are given and what you want to find. What you want is a numeric path from the given to the end so look for obvious consequences of the given. Now go to the end and work backwards - I can figure out this number if I only knew that number. I find working backwards is a great strategy.
In order to work the above you need to look at your toolbox. If there are right triangles will you use Pythagoras or trigonometry or something else. Can you draw a line to make a right triangle? If there is a circle then thing of your circle rules. Think of your other tools: parallel lines; vertical angles etc.
If it is a good problem nothing is obvious. To see what needs to be done get some paper and coloured pencils and start drawing. At some point a potential solution will seem to emerge. If that solution doesn’t work then you can eliminate it but don’t forget it as changing it a little may yield a solution.
I hope this helps. The best way to become a geometry problem solver is to work lots of problems and develop your own strategies.
Step-by-step explanation:
correct me if wrong po