Warm-Up
• Find the area of the kite.
10
4
4
5
Question 8 from the Test
3
3
5
Geometry 10-1
Solid Geometry
Definitions
• Face: the flat side of a figure• Edge: a straight line connecting sides• Vertex: a corner where edges intersect
Basic Shapes
• Prism: polygon bases, parallelogram faces
• Cylinder: circle bases, curved face
• Pyramid: polygon base, triangle faces connected to a vertex
• Cone: circle base, curved side connected to a vertex
Bases
• The bases of a prism are the non-rectangle sides (if there are any).
• The base of a pyramid is the non-triangle side (if there are any).
The Name of the Game
• Prisms and pyramids are named according to the shape of the base.
Example
• Classify the solid shape.
pentagonal pyramidvertices: A, B, C, D, E, F
base: ABCDE
edges:
Example
• Classify the solid shape.
vertex: Ncone
edges: cones don’t have edgesbase: •M
M
Definition
• A net is a diagram of the surfaces of a three-dimensional figure that can be folded to form the three-dimensional figure.
• The net of a cube.
Definition
• A cross section is the intersection of a three-dimensional figure and a plane.
This cross section is a pentagon
Examples
• Describe each cross-section: