1. MODERN GEOMETRY
2.4, 2.5, 3.1
THOMPSON

2. POLYHEDRA - PRISMS

3. POLYHEDRA - PYRAMIDS

4. CYLINDERS, CONES, & SPHERES

5. THE PLATONIC SOLIDS

7. EULER’S
CHARACTERISTIC

8. PERIMETER
The perimeter of a
polygon of the sum
of the lengths of its
sides.

9. PERIMETER –
INDUCTIVE REASONING WITH
TOOTHPICKS
n equilateral triangles

10. TRIANGLE
ALTITUDES
I. The altitude of a
triangle is its
height. h

11. TRIANGLE
ALTITUDES
I. The altitude of a
triangle is its
height.
II. It is segment
from a vertex,
perpendicular to
the opposite side.
h

12. TRIANGLE
ALTITUDES
I. The altitude of a
triangle is its
height.
II. It is segment
from a vertex,
perpendicular to
the opposite side.
III. May lie outside of
h

13. SIERPINSKI’S
TRIANGLE

14. SIERPINSKI’S CARPET
0 1 2 3 4Stage:
243in2

15. AREA
bhA  bhA 2
1


16. AREA
bhA  )( 212
1
bbhA 

17. AREA
h
PhA 2
1

h is called
“apothem”

18. EUCLIDEAN CONSTRUCTIONS

19. MEASURED CONSTRUCTIONS

20. CLASSWORK / HOMEWORK
Classwork Constructions
Quiz (Extra Credit) on Thursday