chapter 2.5, 3.1 bt
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MODERN GEOMETRY2.4, 2.5, 3.1
THOMPSON
POLYHEDRA - PRISMS
POLYHEDRA - PYRAMIDS
CYLINDERS, CONES, & SPHERES
THE PLATONIC SOLIDS
EULER’S CHARACTERISTIC
PERIMETER
The perimeter of a polygon of the sum of the lengths of its sides.
PERIMETER –INDUCTIVE REASONING WITH TOOTHPICKS
n equilateral triangles
TRIANGLEALTITUDES
I. The altitude of a triangle is its height.
h
TRIANGLEALTITUDES
I. The altitude of a triangle is its height.
II. It is segment from a vertex, perpendicular to the opposite side.
h
TRIANGLEALTITUDES
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 triangle.
h
SIERPINSKI’STRIANGLE
SIERPINSKI’S CARPET
0 1 2 3 4Stage:
243in2
AREA
bhA bhA21
AREA
bhA )( 2121 bbhA
AREA
h
PhA21
h is called
“apothem”
EUCLIDEAN CONSTRUCTIONS
MEASURED CONSTRUCTIONS
CLASSWORK / HOMEWORK
Classwork Constructions
Quiz (Extra Credit) on Thursday
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