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)