2.5 proofs segments and angles. what we will learn writing two column proofs name properties of...
TRANSCRIPT
![Page 1: 2.5 PROOFS SEGMENTS AND ANGLES. WHAT WE WILL LEARN Writing two column proofs Name properties of congruence](https://reader035.vdocuments.us/reader035/viewer/2022072114/56649ec05503460f94bcc02f/html5/thumbnails/1.jpg)
2.5 PROOFSSEGMENTS AND ANGLES
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WHAT WE WILL LEARN
• Writing two column proofs• Name properties of congruence
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NEEDED VOCAB
• Proof: logical argument that uses deductive reasoning to show that a statement is true• Two column proof: numbered statements and
corresponding reasons that show an argument in logical order• Theorem: statement that can be proven
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EXS. 1, 3, AND 4 TWO COLUMN PROOFS
Statement
• 1. • 2. • 3. 2• 4. • 5.
Reason
• 1. Given• 2. Angle Add (Post 1.4)• 3. Substitution• 4. Angle Add (Post 1.4)• 5. Transitive prop.
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MORE PRACTICE
Statement
• Do page 103 #13• 1. • 2. • 3. • 4. • 5.
Reason
• 1. Given• 2. Definition of linear pair• 3. Definition of supp • 4. Substitution Prop• 5. Definition of supp.
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YOUR PRACTICE
Statement
• Do page 103 #14• 1.
• 3. • 4.
Reason
• 1. Given• 2. Def. of Bisector• 3. Transitive Prop• 4. Transitive Prop
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EX. 2 NAMING PROPERTIES
• If and , then • Transitive prop
• If JLYZ, then YZJL• Symmetric prop