CK-12 Foundation
Ck 12: Geometry: Types of Reasoning Study Guide
[Free Registration/Login may be required to access all resource tools.] Reasoning is a fundamental part of geometric proofs. There are several types of reasoning, many of which we innately and naturally picked up. However, the different...
Maths Challenge
Maths challenge.net: Peculiar Perimeter
This is a "three star" geometry problem where prior math problem skills and proof experience is recommended. Tile constructions may be used to solve this perimeter and area problem.
Maths Challenge
Maths challenge.net: Coloured Strings
A "three star geometry problem" - requiring the knowledge of what a cuboid is and a some knowledge of how to do proofs.
Cut the Knot
Cut the Knot: Proof Without Words
This site explains the method of proof using diagrams. The site gives some history of methods of proof and how it has changed through time. The site gives numerous examples of proofs without words and a practice exercise to be worked on...
Dartmouth College
Dartmouth College: The Different Styles of Euclid and Copernicus
A history of the differences between Euclid's and Copernicus's methods of proving geometric ideas.
Maths Challenge
Maths challenge.net: Christmas Trees
Find how many Christmas trees can be planted using your conversion and geometric knowledge.
Maths Challenge
Maths challenge.net: Cables
This is a proof problem, considered a "three star" geometry problem requiring knowledge of proofs and properties of circles to solve this problem with cables in duct problem.
Maths Challenge
Maths challenge.net: Radical Axis
This is a "three star" geometry problem requiring knowledge of proofs and properties of circles. Students will use the given definition of radical axis and prior knowledges to prove a way to find a radical axis.
CK-12 Foundation
Ck 12: Interactive Geometry: 11.1 Descriptions of Events
In a coordinate proof, geometric statements using algebra and the coordinate plane.
Maths Challenge
Maths challenge.net: Leaning Ladders
Use your right triangle solving skills to solve this ladders in a hole problem.
Maths Challenge
Maths challenge.net: Sloping Square
A geometry problem of finding the area of a sloped square within a square.
Maths Challenge
Maths challenge.net: Semi Circle Lunes
A lune of a circle is defined and a problem of finding the area of two lunes is given.
Maths Challenge
Maths challenge.net: Lunes
A "three star" geometry problem where some experience of math problem solving skills and knowledge of circles is recommended to solve this lunes (parts of a circles) area problem
Maths Challenge
Maths challenge.net: Glass in the Door
Use your knowledge of volume and weight to solve this posed problem of finding the weight of a glass in a door.
Maths Challenge
Maths challenge.net: Circular Pipes
A realistic world problem using the knowledge of chords and the parts of a circle to solve. Test your knowledge on this brain teaser!
Maths Challenge
Maths challenge.net: Tick Tock Triangle
This is a "three star" geometry problem where prior knowledge of probability is required to solve this "Tick Tock Triangle" problem, have fun!
Maths Challenge
Maths challenge.net: Shaded Triangle
A great geometry problem of area, encorperating many learned skills.
Maths Challenge
Maths challenge.net: Ice Cream Cone
Is summer close yet? Think about this yummy ice cream treat in a mathematical way! A problem of volume is posed for an ice cream cone.
Maths Challenge
Maths challenge.net: Triangle Area
Find the area of this triangle in a coordinate plane.
Maths Challenge
Maths challenge.net: Circumscribed Triangle
Find the area of this circumscribed triangle with your geometry skills.
Maths Challenge
Maths challenge.net: Measuring Mountains
Use your triangle solving skills to solve this triangle problem and then apply it to the real world.
Maths Challenge
Maths challenge.net: Chequered Floor
A problem involving patterns to find the solution to this sequence problem.
Maths Challenge
Maths challenge.net: Pentagon Star
An area problem using your knowledge about pentagons.
Other
Propagation of Light Using Geometry
A discussion of Christian Huygens' contribution to wave optics, and particularly to our understanding of the reflection and refraction of light. Excellent diagrams and a geometric proof on why the law of reflection is mathematically...
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