Euclid
How many postulates did Euclid have?
5
A triangle has base 4 and height 3. What is its area?
6
What is Book II often called?
Geometric Algebra
Elements was written approximately how many years ago?
About 2,300 years ago
If a parallelogram has the same base and height as a triangle, how many times bigger is its area?
Twice (2×)
If one side of a rectangle is divided, what happens to total area?
Sum of smaller rectangle areas
What is one reason why Elements is still studied today?
It is the foundation of classical geometry and teaches logical proof
What method did Euclid use in Proposition I–41?
Decomposition
Which algebraic property is shown in Proposition 1?
Distributive property
Name one postulate of Euclid.
Any one is correct — e.g., A straight line can be drawn between two points
What must a triangle and parallelogram have for Proposition I–41 to be true?
Same base + same parallels (same height)
Which identity is shown in Proposition 6?
(a + b)² = a² + 2ab + b²