| Addition POE: Adding the same or equal numbers to both sides of an equation. |
Subtraction POE: Subtracting the same or = numbers from each side of the equation. |
Multiplication POE: Multiply both sides of an equation by the same number. |
Division POE Dividing both sides of an equation by the same number. |
Property Of Equality
Note: Can be POC (congruency)
Example: Reflexive POE: A=A
Symmetric POE:
Add. POE: A = B so, C+A = B+C
Subtraction POE: A+B=B+C so, A=C (-B)
Multiplication POE: X=Z so, 5X=5Y
Division POE: 2(a)=2(b) so, a=b
Transitive POE: In a=b +c and d= b+c then a=d
For column proof examples: NOTES #14
Slope of a line = rise over run
Useful equation- y=mx+b
Parallel: Coplanar, don't intersect, equal slope.
Perpendicular: Form Rt. Angle
Oblique: Intersecting, not at right angle
Skew: (my def.) Lines not intersecting... Non-coplanar.
Property of Perpendicular lines- If two coplanar lines are perpendicular to the same line, they are parallel to each other.
Possible outcomes of non-coplanar and coplanar perpendicular lines to the
same line:
Parallel, Perpendicular, skew
2 lines intersect to form 4 Rt. angles.
| Paragraph Proof: | Flow Proof: | Two-Column Proof | Coordinate Proof: |
| *Written Narrative *Talk out an explanation *Convince the truth |
Uses boxes & arrows to show a logical argument | Using a numbered sequence of steps and reasons | *Uses a graph *Uses slope distances linear equations Show Verify |
Note: This study guide should not replace your notes in the class! (From the notes of Mrs. Ogg)
