1.6 ­ Paragraph Proofs.notebook
September 13, 2013
Chapter 1 ­ Summary of Tools
• Theorems (2)
1.) If 2 angles are right angles, then they are congruent.
1.6 ­ Paragraph Proofs
Paragraph proofs use the same theorems, definitions, postulates, etc as 2 column proofs. The only difference is we can write the proof as a paragraph instead of using the T column setup.
2.) If 2 angles are straight angles, then they are congruent
• Definitions (5)
1.) Right Angle
2.) Straight Angle
Note: No new theorems in section 1.6!!
3.) Midpoint
4.) Bisector (segment and angle)
5.) Trisector (segment and angle)
• Properties and Operations
1.) Addition (20+30+40=90)
2.) Subtraction Sep 29­9:06 AM
1.4 P.27 #7
Y
Given:
X
Prove:
1.6 ­ Paragraph Proofs
12 3
Z
is a right angle
Statements
Reasons
1.)
1.) Given
2.)
2.) Given
3.)
3.) Given
4.)
4.) Addition
5.)
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is a right angle
Given the measures of angles 1,2, and 3, we can use addition to show that the measure of is 90 degrees. Thus, is a right angle by the definition that states if an angle has a measure of 90 degrees then it is a right angle.
5.) If an angle has a measure of 90 degrees then it is a right angle. (Def: Right Angle)
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