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Geometry Definition and Postulate 1B

AB
perpendicular linestwo 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.
congruentexactly the same
congruent adjacent anglesIf two lines are perpendicular, then they form __ __ __ .
perpendicularIf two lines form congruent adjacent angles, then the lines are __.
complementaryIf the exterior sides of 2 adjacent acute angles are perpendicular, then the angles are __.
exterioroutside
Definition of vertical angles:two angles whose sides form 2 pairs of opposite rays.
congruentVertical 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


Chinese Bilingual Teacher, grades 6 to 12
West Windsor-Plainsboro High School South / Community Middle School
Princeton Jct., NJ

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