MATH 3262

Final exam concepts

Please do not assume the following list is exhaustive.

Lines and their relationships such as parallel, perpendicular, skew

Visualizing relationships between planes

2-dimensional shapes

Polygons

Regular Polygons

Angles—measuring, naming, and classifying

Classification of triangles by sides and angles

Classification of quadrilaterals

Properties of special quadrilaterals

Interior angle sum of a polygon and justification

Exterior angles of a polygon

The Pythagorean Theorem

Justifying whether two segments on a coordinate grid are parallel, perpendicular, or neither

3-dimensional shapes

Polyhedra

Perfect solids (also called regular polyhedra or Platonic solids)

Nets of solids

Cross sections of solids

Perimeter and circumference

Area

Symmetry

Transformations (reflections, rotations, translations)

Areas of squares, rectangles, triangles, parallelograms, and circles

Surface area of 3-D shapes

Volume of prisms, cylinders, pyramids

Congruence

Similarity

Relationship between a shape and one that is similar to it.

Constructions on GSP

Compass and straightedge constructions