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I can't help myself with geometry.

I can't help myself with studying geometry, I can look at a picture but I can't know in order to proof that the statement is correct. Is there any particular way that I can train my brain into looking at geometry and knowing what to do?

math geometry
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Melody’s Answer

Hi mrRio,

Don't worry, you've got this! Solving these kinds of problems is all about practice and understanding. Here are some steps to help you:

1. Start by reading what you need to prove.
2. Look closely at any diagrams.
3. Use definitions and basic rules.
4. Work through the problem from both ends.

To help you along, here are four techniques you can use:

1. Angle Chasing: Use properties of lines and angles to find connections.
2. Cyclic Quadrilaterals: Look for four points on a circle and check angle relationships.
3. Similar Triangles: Compare angles to see if triangles are similar, then use proportions.
4. Auxiliary Constructions: Draw extra lines or points to reveal hidden relationships.

Watching videos can really help. Try watching proof videos several times to understand the process better. You might find it challenging to match videos with your specific problem, but keep at it. Knowing your basic rules and theorems well is a great start. Here's a video to get you going: [YouTube Video Link].

Remember, there's no quick fix, but with practice, you'll train your brain and improve. Keep going!
Thank you comment icon Thank you for the advice. mrRio
Thank you comment icon https://youtu.be/C1boDHuKo6k?si=Dhs07TQCq_4FphkU Melody Tharpe
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Karen’s Answer

Geometry is so much easier to understand if you can explore things hands-on and visually. There are some amazing tools out there that help you 'see' geometry and explore, the first one being Desmos and another one being Geogebra. Both are free tools.

Here's link to Desmos: Desmos.com - click on the Geometry tool and you can create! they even have 3D. It will help to explain patterns, relationships, etc. For example, a rectangular prism is really a top and bottom rectangle (square, rhombus, etc.), with four rectangular sides. Understanding that helps you then understand Surface Area (the area of all the sides, top, and bottom added together) and volume.

Here's a link to geogebra: geogebra.org This is very similar and if you click on Geometry, whats cool is you will see a ton of free explorations around topics you may be studying that you can explore and learn from.

If you start playing around with geometric shapes and see how everything is connected and built from basic constructs like lines, segments, angles, you start to see the patterns and relationships that develop. Geogebra has some wonderful lessons that can help you and they have a Geogebra Youtube channel where you can find specific geometry lessons that will help you as well. youtube.com/@GeogebraChannel (just type in the topic you want in the search bar).
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Dima’s Answer

Hi mrRio,

Remember, even if things seem tough, your hands can make it happen. It's normal to face challenges, and these are the moments when you really grow your problem-solving skills.

Geometry is something you can get better at with practice. Focus on the process: start by writing down what you know and what you need to prove. Then, work backwards by asking what you need to show to prove your point, breaking it down until you find something familiar. After solving each problem, review your steps to see what clues helped you. This builds the pattern recognition that makes geometry easier over time.

Check out Khan Academy for helpful geometry practice and explanations.

Best,
Dima
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