Download Possible “Reasons” in a proof.

S. Hiles
Honors Geometry
Possible “Reasons” in a proof.
Properties of equality
1. Addition prop of =
2. Subtraction prop of =
add the same num to both sides of =
subtract the same num from both sides of =
3.
4.
5.
6.
mult the same num to both sides of =
divide both sides of = by same num
2(x+3) =___________________
combine like terms
Multiplication prop of =
Division prop of =
Distributive prop of =
Simplify
7. Reflexive prop
8. Symmetric prop
9. Transitive prop
10. Substitution
a =a or AB=AB or 5=5
if x = 2 then 2 = x or if AB=5 then 5 = __________
if x = 3 and 3 = y then x = y or If AB=3 and 3= CD then
__________
if x= 5 and x + 2 = y then __________= y
Definitions
1. Definition of congruence
Allows you to go from = to @ or vice versa
AB= CD
m<X= m<Y
AB @ CD
____________
2. Definition of midpoint
X is the midpoint of AB then _______________
3. Definition of perpendicular
AB ^ BC at B then __________________
4. Definition of right angle
<A is a right angle then __________________
5. Definition of supplementary
<A and <B are supplementary
then ____________________________
6. Definition of complimentary
<A and <B are complimentary
then ____________________________
Postulates
1. Segment Addition Postulate
2. Angle Addition Postulate
A, B, and C are collinear and B is between A and C
then _______________________
If B is in the interior of <MNO then ______________
3. Linear Pair Postulate
Theorems
1. Right angle congruence thm
<1 and <2 form a linear pair
then _______________________
<1 and <2 are right angles
then _______________________
2. Congruent supplements thm
<1 and <2 are supplementary and <2 and <3 are
supplementary then ____________________
3. Congruent complements thm
<1 and <2 are complimentary and <2 and <3 are
complimentary then ________________________
4. Vertical angles thm
<1 and <2 are vertical angles
then _________________________