Chapter 2&3 Flashcards
(37 cards)
Postulate about planes
Three points determine a plane
Has at least three non collinear points
Two points in a plane, the likes with the points lie in the plane
If two points intersect the intersection is a line
Postulates about lines
Two points determine a line
A line contains two points
If two lines intersect the intersection is a point
Perpendicular
Two lines that meet at a right angle
Addition property of equality
a+c=b+c
Subtraction property of equality
a-c=b-c
Multiplication property of equality
A(c)=b(c)
Division property of equality
A/c=b/c
Substitution property of equality
A can be substituted for B In any equation or expression
Distributive property
a(b+c)=AB+BC
Reflexive property of equality
A=A a thing equals to itself
Symmetric properties of equality
A=b, then b=a
If one expression equals another, it doesn’t matter which expression foes on which side
Transitive properties of equality
If a=b and b=c, then a=c
If two things equal a third thing, they also equal each other
Right angle congruence theorem
All right angles are congruent
Vertical angles congruence theorem
All vertical angles are congruent
Linear pair postulate
Angles in a linear pair are supplements
Parallel lines
Don’t intersect and slopes are equal
They can be on a plane
A line can be parallel to a plane if it is on the plane or on another plane that’s parallel
Skew lines
Do not intersect and are not on the same plane
Parallel postulate
Given a line and a point not on the line, you can draw only one line that is parallel to the original line and goes through the point.
Perpendicular postulate
Given a line and a point not on the line, you can draw only one line that is perpendicular to the original line and goes through the point.
Transversal
A line that intersects two or more other limes at different points
Interior angles
Inside the lines
Exterior angles
Outside the lines
Consecutive angles
Same side of the transversal
Alternate angles
Opposite sides of transversal
