1 / 5

Objective: To prove and apply theorems about angles.

Ch 2.5 Standard 2.0 : Students write geometric proofs. Standard 4 .0 : Students prove basic theorems involving congruence. Objective: To prove and apply theorems about angles. Theorems. Definition:.

duane
Télécharger la présentation

Objective: To prove and apply theorems about angles.

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Ch2.5Standard 2.0: Students write geometric proofs.Standard4.0:Students prove basic theorems involving congruence. Objective: To prove and apply theorems about angles.

  2. Theorems Definition: A theorem is any statement that you can prove. Once you have proven a theorem, you can use it as a reason in later proofs. Theorems:

  3. Two Column Proof Definition: In a two-column proof, you list the steps of the proof in the left column and the matching reason for each step in the right column. Step 1 is the hypothesis and the reason is Given. The last step is the conclusion of what you are proving. Before you start writing a proof, you should plan out your logic. Sample:

  4. Example 1 Given: 1 and 2 are supplementary, and 2 and 3 are supplementary. Prove: 1  3 1 and 2 are supp., and 2 and 3 are supp. m1 + m2 = m2 + m3 Subtr. Prop. of = 1  3

  5. Example 2 Given: 1 and 2 are supplementary, and 1  3 Prove: 3 and 2 are supplementary. 1 and 2 are supplementary. 1  3 Given m1 + m2 = 180° Def. of supplementary angles Def. ofcongruent angles m1 = m3 m3 + m2 = 180° Substitution Def. of supplementary angles 3 and 2 are supplementary

More Related