Proof Help Sheet Flashcards
.————–.————–.
A B C
AB + BC = AC
Segment Addition Postulate
.——-|—–.—–|——.
A B C
---- B is the midpoint of AC ----- ----- AB ~ BC
=
Definition of Midpoint
—– ~ —— / AB = BC
AB = BC
Definition of Congruent Segments
/
/ .---------.-B-------. A / C
/
v B is the midpoint of -----
AC (this line bisects with AC not intersectsDefinition of Segments Bisector
A line contains at least two points; a plane contains at least three points not all in one line, space contains at least four points not all in one plane.
Postulate 5
Through any two points there is exactly one line
Postulate 6
Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane
Postulate 7
If two points are in a plane, then the line that contains the points is in that plane
Postulate 8
If two planes intersect, then their intersection is a line
Postulate 9
If two lines intersect, then they intersect in exactly one point
Theorem 1.1
Through a line and a point not in the line, there is exactly one plane.
Theorem 1.2
If two lines intersect, then exactly one plane contains the lines
Theorem 1.3
m<ABD + m<DBC = m<ABC
Angle Addition Postulate
—>
BD Bisects <ABC
<ABD ~ <DBC
=
Definition of Angle Bisector
<1 ~ <2 m<1 = m<2
=
Definition of Congruent Angles
