Adding the same or equal numbers to both sides of an equation.
Subtracting the same or = numbers from each side of the equation.
Multiply both sides of an equation by the same number.
Dividing both sides of an equation by the same number.
Property Of Equality
Note: Can be POC (congruency)
Example: Reflexive POE: A=A
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
Parallel, Perpendicular, skew
2 lines intersect to form 4 Rt. angles.
|Paragraph Proof:||Flow Proof:||Two-Column Proof||Coordinate Proof:|
*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
Note: This study guide should not replace your notes in the class! (From the notes of Mrs. Ogg)