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: