10.2—Creating Nets: Platonic Solids
Warm Up
Classify each polygon.
1. a polygon with three congruent sides
equilateral triangle
2. a polygon with six congruent sides and six
congruent angles
regular hexagon
3. a polygon with four sides and with opposite
sides parallel and congruent
parallelogram
10.2—Creating Nets: Platonic Solids
Objective: Identify and name Platonic Solids.
There are five regular polyhedra, called _______________ ________,
(named after Greek mathematician and philosopher Plato. (Notice how
Euler’s Theorem applies to all of them.)
a. _____________
a. ________________
a. __________________
b. faces: ________
b. faces: ________
b. faces: ________
vertices: ______
vertices: ______
vertices: ______
edges: ________
edges: ________
edges: ________
c. ___ + ___ = ___ + 2
c. ___ + ___ = ___ + 2
c. ___ + ___ = ___ + 2
a. _____________
a. ________________
b. faces: ________
b. faces: ________
vertices: ______
vertices: ______
edges: ________
edges: ________
c. ___ + ___ = ___ + 2
c. ___ + ___ = ___ + 2
10.3 – Plane and Cross Sections
10.3 Warm-up
1. Classify the figure. Name the vertices, edges, and bases.
triangular prism;
vertices: A, B, C, D, E, F;
edges:
bases: ∆ABC and ∆DEF
10.3 – Plane and Cross Sections
Imagine a ___________ slicing through a solid.
The ______________ of the plane and the solid
is called a cross section.
For instance, the diagram shows that the
intersection of a plane and a sphere is
a__________.
circle
elipse
triangle
triangle
trapezoid
Semi-circle
point
hexagon
pentagon
Sketch the solid produced by rotating the figure around the given axis.
Then identify and describe the solid.
It is a cylinder with
a height of 9 and a
base with radius 5.
It is a sphere
with radius 2.
It is a cone with a height of 6
and a base with radius 4.
10.3 ws
1.