Unit 2 Flashcards
Need To Know
Reflexive, Symmetric, and Transitive properties Substitution Principle (+, -, *, /)(equality, inequality) properties Angle Addition Postulate Segment Addition Postulate Definition of Midpoint Definition of Angle Bisector Definition of Supplementary Angles Definition of Complementary Angles
Point-Line Postulate
Two distinct points are contained in one and only one line.
Extension of the Point-Line Postulate
Two distinct lines have not more than one point in common.
Line-Plane Postulate A
If two points lie on a given plane, then the line they determine is contained in the same plane.
Line-Plane Postulate B
If two distinct planes intersect, their intersection is a straight line. The intersection of three planes is either a point or a line. A line and a plane intersect when they have one point in common.
Point-Plane Postulate
Three points which are not collinear are contained by one and only one plane.
Extension of Point-Plane Postulate A
A line and a point not on the line determine a plane.
Extension of Point-Plane Postulate B
Two intersecting lines determine a plane.
Theorem 1 (supp.)
If two angles are equal, then their supplements are equal.
Theorem 1a
If each of two angles is the supplement of the same angle, then the two angles are equal.
Theorem 2
If two angles are equal, then their complements are equal.
Theorem 2a
If each of two angles is the complement of the same angle, then the two angles are equal.
Vertical Angle Theorem
If two straight lines intersect, then the opposite (vertical) angles formed are equal in pairs.