As being one of the final four, I am proud to introduce to you,
CHAPTER 2 BASIC CONCEPTS AND PROOFS
The first section is 2.1 "Perpendicularity"
Perpendicular- lines, rays, or segments that intersect at all right angles
... And thats all about all there is for the first quick section.
The second section is 2.2 "Complementary and Supplementary Angles"
Complementary Angles- are two angles who sum is 90 degrees
Supplementary Angles- are two angles whose sum is 180 degrees
The third section is 2.3 "Drawing Conclusions"
Procedures for D.C.
1. memorize theorems, definitions, and postulates.
2. Look for key words and symbols in the Given
3. Think of all theorems, definitions, and postulates that involve those keys
4. decide which t, d, p allows you to draw the conclusion
5. Draw a Conclusion, and justify
The fourth section is 2.4 "Congruents Supplements and Complements"
Theorem 4: If angles are supplementary to the same angle, then they are congruent.
" " 5: If angles are supplementary to congruent angles, then they are congruent.
" " 6: If angles are complementary to the same angle, then they are congruent.
" " 7: If angles are complementry to congruents angles, then they are congruent.
The fifth section is 2.5 "Addition and Subtraction Properties"
Theorem 8: If a segment is added to two congruent segments the sums are congruent. (Addition Property)
Theorem 9: If an angle is addes to two congruent angles, the sums are congruent. (Add. post.
Theorem 10: If congruent segments are added to congruent segments, the sums are congruent. (Add. post.)
Theorem 11: If congruent angles are added to congrunet angles, the sums are congruent.
Theorem 12: If a segment (or angle) is subtracted from congruent segments (or angles), the differences are congruent. (Subtraction Property)
Theorem 13: If congruent segments (or angles) are subtracted from congruent segments (or angles), the differences are congruent. (Subt. Prop.)
The sixth section is 2.6 "Multiplication and Division Properties"
Theorem 14: If segments (or angles) are congruent, their like multiples are congruent. (Muliplication Property)
Theorem 15: If segments (or angles) are congruent, their like divisions are congruent. (Division Property)
The seventh section is 2.7 "Transitive and Subtraction Properties"
Theorem 16: If angles (or segments) are congruent to the same angle (or segment), they are congruent to each other. (Transitive Property)
Theorem 17: If angles (or segments) are congruent to congruent angles (or segments), they are congruent to each other. (Trans. Prop.)
For the final section in Ch. 2, 2.8 "Vericles Angles"
Opposite rays- two collinear rays that have a common endpoint and extend in different directions
Verticle Angles- two angles formed by two rays forming the sides of one and the rays forming the sides of the other are opposite rays.
Theorem 18: Verticle Angles are congruent.
HopinG thAt it has been ten MinutEs.
And if you don't know what the Game is
http://en.wikipedia.org/wiki/The_Game_(mind_game)
http://en.wikipedia.org/wiki/The_Game_(mind_game)
Yes, it has its own website http://www.losethegame.com/
-Peter Kessel
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