A | B |
perpendicular lines | two lines that intersect to form right angles |
Ray: | Ray AC consists of segment AC and all other points p, such that C is between A and P. |
congruent | exactly the same |
congruent adjacent angles | If two lines are perpendicular, then they form __ __ __ . |
perpendicular | If two lines form congruent adjacent angles, then the lines are __. |
complementary | If the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are __. |
exterior | outside |
Definition of vertical angles: | two angles whose sides form 2 pairs of opposite rays. |
congruent | Vertical angles are __ . |
Definition of complementary angles: | 2 angles whose measure have a sum of 90. |
Definition of supplementary angles: | 2 angles whose measure have a sum of 180 |
Reflexive property: | a=a |
Symmetric property: | if a=b, then b=a |
Transitive property: | if a=b and b=c, then a=c |
Addition property: | if a=b and c=d, then a+c= b+d |
Substitution property: | if a=b, then either a of b may be substituted for the other in any equation or inequality |
Commutative property: | a+b=b+a or ab=ba |
Associative property: | a+(b+c)=(a+b)+c or a(bc)=(ab)c |
Distributive property: | a(b+c)=ab+bc |
Common segment theorem: | If ab= cd, then ac=bd; If ac= bd, then ab=cd |