Theorems
postulate1-3--given AB and a # r between 0 and 180, there is exactly one ray
w/ endpoint A,extending on each side ofAB, such that the measure of the angle
formed is r postulate1-4--if r is in the interior of pqs,then Mpqr+Mrqs=Mpqs.if
Mpqr+Mrqs then R is in thr interior of angle pqs postulate 2-2--through any 3
points not on the same line there is exactly one plane law of detachment--if
P--*Q is a true conditional and P is true,then Q is true law of syllogism--if
P--*Q and Q--*R are true conditionals,then P--*R is also true
theorem2-1--congruence of segments is reflexive,symmetric and transitive
theorem2-2--if 2 angles form a linear pair, then they r supplementary angles
theorem2-3--congruence of angles is reflexive,symmetric,and transitive
theorem2-4--angles supplementary to the same angle or to the congruent angles r
congruent theorem2-5--angles complementary to the same angle or to congruent
angles r congruent theorem2-6--all right angles r congruent theorem2-7--vertical
angles r congruent theorem2-8--perpindicular lines intersect to form 4 right
angles skew lines-2 lines r skew if they don’t intersect and r not in the samn
plane postulate3-1-- if 2 // lines r cut by a transversal,then each pair of
corresponding angles is congruent theorem3-1--if 2 // lines r cut by a
transversal,then each pair of alternate interior angles in congruent
theorem3-2--if 2 // lines r cut by a transversal,then each pair of consec. int.
angles is supp.
theorem3-3--if 2 // lines r cut by a transversal,then each pair
of alternate ext. angles is congruent theorem3-4--in a plane,if a line is perp.
to 1 of 2 // lines,then it is perp. to the other postulate3-4--2 nonvertical
lines have the same slope if and only if they r //. postulate3-5--2 nonvertical
lines r perp. if and only if the product of their slopes is -1 theorem4-3--the
measure of an exterior angle of a triangle is equal to the sum of the measures
of the 2 remote interior angles CPCTC- 2 triangles r congruent if and only if
their corresponding parts r congruent theorem4-4--congruence of triangles is
reflexive,transitive and symmetric theorem4-6--if 2 sides of a triangle r
congruent,then the angles opp. the sides r congruent theorem4-7--if 2 angles of
a triangle r congruent,then the sides opp. those angles r congruent
theorem4-3--a triangle is equilateral if and only if it is equiangular
theorem5-1 a point on the perp. bisector of a seg. is equidistant from the
endpoints of the seg. theorem5-2--a point equidistant from the endpoints of a
seg. lies in the perp. bisector of the seg. theorem5-3--a point on the bisector
of an angle is equidistant from the sides of the angle theorem5-4--a point in
the interior of or on an angle and equidistant from the sides of an angle lies
on the bisector of the angle
