Week 9: Congruent Angles

This week in class marks the beginning of a whole new branch of geometry. Congruency is very helpful in many different situations involving geometric problems, and will be a great asset in future math classes. Here is a helpful review link that should catch you up to today (in case you missed anything while in class). Notice that when the two line segments are parallel, the same side angles add up to 180°. I know the different types of angles are not defined, so here is a diagram showing all the definitions we covered throughout the week:

For this week's assignment, construct a "missing angle puzzle" like the one found in this link. I want to see at least ten variables with between one and four angle measurements given. Once the deadline ends for this assignment I will post the received puzzles to the discussion board. Only the students who submitted a puzzle will be allowed to try and solve someone else's puzzle, and I will hand out a prize to anybody whose puzzle was not able to be solved. Now, I will be fair and make sure the puzzles are solvable before posting them to the discussion board, but once they are posted it is fair game.

This week's goal:

• Creatively explore the properties of congruent angles.

Due dates:

• The test has been decided to be in three weeks. The puzzles will need to be submitted by the Friday before the test, or in other words will be due in two weeks.
• For some extra points, the puzzle I gave as an example can be turned in with all angles found. This will be due on the next test date.