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44 Cards in this Set
 Front
 Back
post 1 (ruler post)

The points on a line can be paired with real numbers in such a way that any two points can have coordinates 0 and 1


post 2 (seg add post)

if B is between A and C, then AB+BC=AC


post 4 (angle add post)

m∠AOB+m∠BOC=m∠AOC


post 5

a line contains at least 2 pts, a plane contains at least 3 pts, space contains at lest 4 pts not all in one plane


post 6

through any 2 pts there is exactly 1 line


post 7

through any 3 pts there is at least 1 plane, through any 3 noncollinear pts there is exactly 1 plane


post 8

if 2 pts are in a plane then, the line that contains the pts is in that plane


post 9

if 2 planes intersect, their intersection is a line


post 10

if 2 parallel lines are cut by a transversal, then corresponding angles are congruent


post 11

if 2 lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel


post 12 (sss post)

3 sides of 2 triangles congruent, both triangles are congruent


post 13 (sas post)

if 2 sides and the included angle of 2 triangles are congruent, both triangles are congruent


post 14 (asa post)

if 2 angles and the included side of 2 triangles are congruent, both triangles are congruent


th 11

if 2 lines intersect, they intersect in exactly 1 pt


th 12

through a line and a pt not in the line there is exactly 1 plane


th 13

if 2 lines intersect, then exactly 1 plane contains the lines


th 21 (midpt th)

if M is the midpt of AB, then AM=1/2AB and MB=1/2AB


th 22 (angle bisector th)

if BX is the bisector of ∠ABC, then m∠ABX=1/2m∠ABC and m∠XBC=1/2m∠ABC


th 23 (vert angle th)

vertical angles are congruent


th 24

if 2 lines are perp, then they form congruent adjacent angles


th 25

if 2 lines form congruent adjacent angles, then the lines are perp


th 26

if the exterior sides of 2 adjacent acute angles are perp, then the angles are complementary


th 27

if 2 angles are supplements of congruent angles (or of the same angle), the 2 angles are congruent


th 28

if two angles are complements of congruent angles (or of the same angle), the 2 angles are congruent


th 31

if 2 parallel planes are cut by a 3rd plane, the lines of intersection are parallel


th 32

if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent


th 33

if 2 parallel lines are cut by a transversal, the sameside int angles are supplementary


th 34

if a trasversal is perp to 1 of 2 parallel lines, then it is perp to the other also


th 35

if 2 lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel


th 36

if 2 lines are cut by a transversal and sameside interior angles are supplementary, the lines are parallel


th 37

in a plane 2 lines perp to the same line are parallel


th 38

through a pt outside a line, there is exactly one line parallel to the given line


th 39

through a pt outside a line, there is exactly 1 pt perp to the given line


th 310

2 lines parallel to a 3rd line are parallel to each other


th 311

the sum of the measures of the angles of a triangle is 180
corr1 if 2 angles of 2 triangles are congruent to each other, then the third angles are congruent corr2 angles of an equilateral triangle are each 60 corr3 in a triangle, there can be at most 1 rt angle or 1 obtuse angle corr4 the acute angles of a rt triangle are complementary 

th 312

the measure of an exterior angle of a triagle equals the sum of the 2 remote interior angles


th 313

the sum of the measures of the angles of a convex polygon with n sides is (n2)180


th 314

the sum of the exterior angles of any convex polygon is 360


th 41 (isoc triangle th)

if two sides of a triangle are congruent, then angles opposite those sides are congruent
corr1 an equilateral triangle is also equiangular corr2 equilateral triangle has 3 60 degree angles corr3 the bisector of the vertex angle of an isoc triangle is perp to the base at its midpt 

th 42

if 2 angles of a triangle are congruent, the sides opposite those angles are congruent
corr1 an equiangular triangle is equilateral 

th 43 (AAS post)

if 2 angles and a nonincluded side of 1 triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent


th 44 (HL th)

if the hypotenuse and a leg of a rt triangle are congruent to corresponding parts of another triangle, the 2 triangles are congruent


th 45

if a pt lies on the perp bisector of a segment, then the pt is equidistant from the endpts of the segment


th 46

if a pt is equidistant from the endpts of a segmt, the pt lies on the perp bisector of the segmt
