2.6+Angle+Proofs

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Colin and Michael's Wiki (2.6) In This Wiki the focuses are
 * A brief summary of 2.6 and it's main points
 * 2 pages with good advice and teach you about the topic (2.6)
 * Three Sample problems with solution (using Math-Type)
 * Vocabulary Words and theories (including diagrams)
 * Online practice problems (website) [Extra Credit]

The two goals of the lesson are
 * 1) Use angle congruence properties
 * 2) Prove properties about special pairs of angles

Theorem 2.2 Properties of Angle Congruence

Any congruence is reflective, symmetric and transitive.

Example

 Theorem 2.3 Right Angle Congruence Theorem

All Right angles are congruent  Theorem 2.4 Congruence Supplements Theorem

If two angles are supplementary to the same angle then they are congruent

If //m// 1 + //m//2 = 180° and //m//2 + //m//3 = 180°, then 1 3.

Theorem 2.5 Congruence Complements Theorem

If two angles are complementary to the same angle then the two angles are congruent  If //m//4 + //m//5 = 90° and //m//5 + //m//6 = 90°, then 4 6.

 1. If //m//7 = 28°, then //m//3 = ? __2. If //m////EHB// = 121°, then //m//7 =__ ? __3. If //m////GHD// = 119°, then //m//4 =__ ? Look Below For Answers
 * Example Problems**

__//4. m//8 = //m//5 and //m//5 = 125°. Explain how to show //m//7 = 55° 

Answers 1. 28__ 4. Using the transitive property of equality, //m//8 = 125°. The diagram shows //m//7 + //m//8 = 180°. Substitute 125° for //m//8 to show //m//7 = 55°.

Websites that will teach you about the subject http://teachers.henrico.k12.va.us/freeman/timme_r/ppointweb/Angleproof/ppframe.htm ** http://library.thinkquest.org/2609/l2s4.htm Information By:** Online Geometry Text Book (Page 109)