If congruent segments are added to congruent segments the results are congruent- same for angles
Given AC congruent BD
Conclusion: AB congruent CD
If a segment is subtracted from congruent segments the differences are congruent- same for angles
Given:KO congruent KP
NO congruent RP
Conclusion KN conclusion KR
If congruent segments are subtracted from congruent segments the differences are congruent- same for angles
Given: AB congruent EF
Band C are trisectors of AD
F and G are trisectors of EH
Conclusion: AD congruent EH
if segments( or angles ) are congruent their like multiples are congruent
Given: DG congruentCT
O is midpoint of DG
A is midpoint of CT
Conclusion DO congruent CA
If segments (or angles) are congruent their like divisions are congruent
If AB congruent CD and CD congruent EF then AB congruent EF
if <'s(or segments) are congruent to the same < (segment) they are congruent to each other
If QR congruent ST, QR congruent XY, and ST congruent AB then XY congruent AB
If segments(or angles) are congruent to congruent <'s(or segments) they are congruent to each other
Opposite rays
1) share a common endpoint
2) are collinear
3) extend in different(opposite) directions
vertical angles
2 <'s are vertical <'s when the rays forming the sides of one vertical < are opposite rays to those forming the sides of the other vertical <# this means when 2 lines intersect 2 pairs of vertical <'s are formed
<1 and <3 are vertical <'s
<2 and <4 are vertical <'s