perpendicularity2
- lines/rays/segments that intersect at right angles
- don’t assume from diagram
oblique
when 2 lines intersect and are not perpendicular
complementary angles2
- 2 angles whose sum is 90
- each of the two angles is called the complement of the other
supplementary angles2
- 2 angles whose sum is 180
- each of the two angles is called the supplement of the other
congruent supps and comps theorems2
- if angles are supplementary/complementary to the same angle, then they are congruent
- if angles are supplementary/complementary to congruent angles, then they are congruent
addition property 2
- if an angle/segment is added to 2 congruent angles/segments, the sums are congruent
- if congruent angles/segments are added to 2 congruent angles/segments, the sums are congruent
subtraction property2
- if an angle/segment is subtracted from 2 congruent angles/segments, the differences are congruent
- if congruent angles/segments are subtracted from 2 congruent angles/segments, the differences are congruent
addition property is used
when the segments/angles in conclusion are greater than those in the given
subtraction property is used
when the segments/angles in conclusion are less than those in the given
multiplication property
if segments/angles are congruent, their like multiples are congruent
division property
if segments/angles are congruent, their like divisions are congruent
transitive property2
- if angles/segments are congruent to the same angle/segment, they are congruent to each other
- if angles/segments are congruent to congruent angles/segments, they are congruent to each other
substitution
to solve for a variable and then plug the answer into original equation
opposite rays
2 collinear rays that have a common endpoint and extend in different directions
vertical angles
when the rays forming the sides of one angle and the rays forming the sides of the other are opposite rays
vertical angle theorem
vertical angles are congruent
