Basic Airplane Aerodynamics
Geometry Problem Set I

Subject Area: Geometry

Grade Level: 10 - 11

National Mathematics Standard:

Deduce properties of, and relationships between, figures from given assumptions.

National Technology Standards:

• Research Tools - Use content-specific tools, software and simulations (e.g., environmental probes, graphing calculators, exploratory environments, Web tools) to support learning and research.
• Problem-Solving and Decision-Making Tools - Routinely and efficiently use on-line information resources to meet needs for collaboration, research, publications, communications, and productivity.

Objective:

You will be able to prove angles congruent by use of vertical angles definition, subtraction postulate, and transitivity postulate.

Beginner's Guide to Aerodynamics is a "textbook" of information prepared at NASA Glenn Research Center to help you better understand how airplanes work. Click Beginner's Guide Index to access the list of slides. Open the slide called Vector Balance of Forces for a Glider (with text) to learn about the balance of forces on a descending glider. Then complete the problem set found at Geometry Problems Set I to demonstrate your ability to prove angles congruent.

Assessment:

You will be evaluated on your proofs to the problem set.

Evaluation:

You will be able to prove angles congruent by the definition of vertical angles (Problem 1), by the subtraction postulate (Problem 2), and by the transitivity postulate (Problem 3).

Submitted by:

Michael Burich, Shaw High School, East Cleveland, Ohio

E-mail: burich@juno.com