proofs basics

use and memorize for proofs :)

reflexive property of equality

when a = a

symmetric property of equality

if a = b then b = a

transitive property of equality

if a = b and b = c, then that means a = c

addition / subtraction property of equality

adding or subtracting a value from both sides of the equation

multiplication / division property of equality

multiplying or dividing a value from both sides of the equation

substitution property of equality

substituting values in an equation with other values

reflexive property of congruence

AB ≅ AB

symmetric property of congruence

if AB ≅ CD then CD ≅ AB

transitive property of congruence

if AB ≅ CD and CD ≅ EF then that means that AB ≅ to EF

distributive property

a(b+c) is ab +ac

angle addition postulate

if P i s on the interior of <RST then m<RSP + m<PST = m<RST

they must be adjacent angles

segment addition postulate-

if points A,B, and C are collinear and point B is in between A and C, then AB + BC = AC