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Proofs and Reasons


adding same number to both sides if 2x=3y, then 2x+1 = 3Y+1 addition property of equality
subtracting same number to both sides if 2x=3y, then 2x-1=3y-1 subtraction property of equaity
multiplying the same number to both sides if x=y, then 2x=3y multiplication property of equality
dividing the same number to both sides if 2=y, then x/2=y/2 division property of equality
a number or expression is equal to itself 4x=4x reflexive property
can flip flop an equation x+5=10, then 10=x+5 symmetric property
two numbers equal to the same 3rd number are also equal to each other if x=6 and y=6, then x=y transitive property
if 2 expressions are equal, they can be substituted for each other anywhere if x=4, then 4 can be substituted anywhere x is substitution property
segments AB=AB reflexive property of equality
<1+<2=90 definition of complimentary angles
<1+<2=180 definition of suplementary anges
If R is the midpoint of XY, then XR=RY definition of midpoint
If P is between A and B, then AP+PB=AB segment addition postulate
If AB=CD, then AB{CD definition of congruent segments
If ray RA is a bisector of definition of angle bisector
<1{<1 reflexive property of congruence
If <1=<2, then <2=<1 symmetric property of equality
If <2 is a right angle, then <2=90 degrees definition of a right angle
If lines m and n are perpendicular, then )1 is a right angle. definition of perpendicular lines
If <1+<2=90, then <1 and <2 are complementary. definition of complementary angles
If m<1=m<2, then <1{<2. definition of congruent angles
If <1=90, then <1 is a right angle. defintion of right angle
If <1{<2, then <1=<2. defintion of congruent angles
If AB=CD, then AB+RT=CD+RT addition property of equality
If <1{<2 and <2{<3, then <1{<3. transitive property of equality
If GH=5 and GH+CD=XY, then 5+CD=XY. substitution property of equality
If AB=PQ, and PQ+MN, then AB=MN. transitive property of equality.
Created by: msteimer