The Anatomy of a Proof
About This MicroSim
This interactive diagram shows the three essential components that every geometric proof must contain:
- GIVEN - The starting information (what you know)
- LOGICAL STEPS - The journey of valid deductions (each justified)
- PROVE - The destination (what you demonstrate)
How to Use
- Hover over each section to see more details and examples
- Hover over the Tools box to see what resources are available for proofs
- Follow the arrows from START to FINISH
Key Insight
Every step in a proof must be justified!
Valid reasons include: - Postulates (accepted truths) - Definitions - Previously proven theorems - Algebraic properties
Learning Objectives
- Understand the essential components of a geometric proof
- Identify the Given, Steps, and Prove in any proof format
- Recognize that all proof formats share this structure
Bloom's Taxonomy Level
Understanding - Comprehending the structure of proofs.
Iframe Embed Code
<iframe src="https://dmccreary.github.io/geometry-course/sims/proof-anatomy/main.html"
height="452px"
width="100%"
scrolling="no"></iframe>
References
- Introduction to Proofs - Khan Academy