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### 44 Cards in this Set

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 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 1-1 if 2 lines intersect, they intersect in exactly 1 pt th 1-2 through a line and a pt not in the line there is exactly 1 plane th 1-3 if 2 lines intersect, then exactly 1 plane contains the lines th 2-1 (midpt th) if M is the midpt of AB, then AM=1/2AB and MB=1/2AB th 2-2 (angle bisector th) if BX is the bisector of ∠ABC, then m∠ABX=1/2m∠ABC and m∠XBC=1/2m∠ABC th 2-3 (vert angle th) vertical angles are congruent th 2-4 if 2 lines are perp, then they form congruent adjacent angles th 2-5 if 2 lines form congruent adjacent angles, then the lines are perp th 2-6 if the exterior sides of 2 adjacent acute angles are perp, then the angles are complementary th 2-7 if 2 angles are supplements of congruent angles (or of the same angle), the 2 angles are congruent th 2-8 if two angles are complements of congruent angles (or of the same angle), the 2 angles are congruent th 3-1 if 2 parallel planes are cut by a 3rd plane, the lines of intersection are parallel th 3-2 if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent th 3-3 if 2 parallel lines are cut by a transversal, the same-side int angles are supplementary th 3-4 if a trasversal is perp to 1 of 2 parallel lines, then it is perp to the other also th 3-5 if 2 lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel th 3-6 if 2 lines are cut by a transversal and same-side interior angles are supplementary, the lines are parallel th 3-7 in a plane 2 lines perp to the same line are parallel th 3-8 through a pt outside a line, there is exactly one line parallel to the given line th 3-9 through a pt outside a line, there is exactly 1 pt perp to the given line th 3-10 2 lines parallel to a 3rd line are parallel to each other th 3-11 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 3-12 the measure of an exterior angle of a triagle equals the sum of the 2 remote interior angles th 3-13 the sum of the measures of the angles of a convex polygon with n sides is (n-2)180 th 3-14 the sum of the exterior angles of any convex polygon is 360 th 4-1 (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 4-2 if 2 angles of a triangle are congruent, the sides opposite those angles are congruent corr1 an equiangular triangle is equilateral th 4-3 (AAS post) if 2 angles and a non-included side of 1 triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent th 4-4 (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 4-5 if a pt lies on the perp bisector of a segment, then the pt is equidistant from the endpts of the segment th 4-6 if a pt is equidistant from the endpts of a segmt, the pt lies on the perp bisector of the segmt