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### 123 Cards in this Set

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 Supplement theorem If two angles form a linear pair then they are supplementary angles complement theorem if the noncommon sides of two adjacent angles form a right angle then the angles are complementary angles. congruence of angles are reflexive, symetric, and transitive Theorem angles suppl to the... angles suppl to same angle or congruent angles are congruent theorem angles compl angles compl to same angle or congru. angles are congru vert angle theorem if two angles are vert angles then they ar congru perpendicular lines intersect to to form 4 right angles all right angles are congruent Perpendicular lines form.. congruent adj angles. if two lines are congruent and suppl then each angle is a rght angle if 2 congru angles form a linear pair then they are right angles CA means if 2 lines are //, cut by a transversal, then each pr of corre angles is con. AIA If 2 // lines cut by a trans then each pr of aia is con CIA If two // lines cut by transve then ea pr of consec int angl is suppl AEA If 2 // lines cut by transve then each pr of AEA is congruent Perpen transversal TH in a plane, if a line is perpen to one then perpen to other 2 nonvertical lines have the same slope if and only if they are // 2 nonvert lines are perpen if and only if the product of their slopes are -1 if 2 lines in a plane are cut by a trans so that the corres angles are congru then the lines are // // post if there is a line and a point not on al ine then there exsist one line that is exactly one though the pnt that is // to given line if alt ext angles are congru then.. lines are // if cons int angles are suppl then the lines are // if alt angles are congru then... the lines are // if 2 lines are perpen to the samelines then they are // in a plane if 2 lines are each equidistant from the thrid then two lines are // to ea other Angle sum TH The sum of a whole tiangle is 180 third angle TH If 2 angles of one triangle are congruent to 2 angles of a second tri then the 3rd angles of the tri are congru EXT angle TH The measure of an ext angle of a tri is equall to the sum of the measures of the two remot int angles the acute angles of a rght tri are are comple There can only be 1 blank and 1 balnk in a tri at most right and obtuse congruence of tri is reflex symm, and transitive SSS If the side of one tri is congru to the sides of the second tri then the tri are congru SAS if 2 sides and the inclu side of one triangle are congru to 2 sides and the inclu of another tri the tri are con ASA If 2 angles and the inclu side of one tri are con to 2 and the sides and the inclu angle of another tri then tris are congru AAS angle angle side LL if the legs of a right tri are con then the tri are congru HA if the hypotenuse and acute of one rght tri , and the hypo is con to the acuute then the tris are congru LA If a leg and a acute angle are con on a rght tri then tris are congru HL If the Hypo and leg are con in a rght tri then tris are con Con isos TH if 2 angles of a tri are congu then the sides opp angles are congru I tri is =lateral if it it is = angular ea of an equilangular tri measurs 60 ANy point on the perpen bisect of a seg is =distant from the endpoint of a segment any point on a =distant from the endpoints of a seg lies on the perpen bisector of the seg circum center TH The circumcenter of a tri is equal dist from the vercies of the tri ANy point on the bisect is equal dist from the sides of an angle lies on the angle bisect incenter TH The incenter of a tri is = dist from ea side of the tri CEntroid Th The centroid of a tri is located 2/3 of teh dist from a vert to the midpt of te opp the vertex on a median Ext Angle In=ity TH If an angle is an EXT angle of a tri then its measure is greater than the measure of either of its corr remote int angles if one angle of a tri has a greater measure than another angles then the side opp the greate angle is longer than the side opp the lesser angle The perpen seg from a point to a line is shortest seg from point to the line The perpern seg from a pnt to a place is the shortest seg from point to the plane tri in= th the sum of any two sides of a tri id greater thsnthe 3rd side acute angle An angle of less than 90°. acute tri triangle whose interior angles are all acute adj andgles Either of two angles having a common side and a common vertex AEA Angles 1, 2, 3, and 4 are all exterior angles. Angles 1 and 4 are alternate exterior angles. Angles 2 and 3 are also alternate exterior angles. Line t (in red) is called a transversal, a line crossing two or more lines. AIA Angles 1 and 4 are alternate interior angles. Angles 2 and 3 are also alternate interior angles. Line t (in red) is called a transversal, a line crossing two or more lines. When the transversal cuts through 2 parallel lines, the alternate interior angles formed have a special relationship altitude The perpendicular distance between a vertex of a triangle and the side opposite that vertex. Sometimes called the height of a triangle. Also, sometimes the line segment itself is referred to as the altitude angle Region between two rays angle bisector A segment or ray that shares a common endpoint with an angle and divides the angle into two equal parts. Biconditional a conjunction of a conditional state and its conve centroid The point of intersection of the medians of a triangle. circumcenter point of intersection of the perpendicular bisectors of the sides of a given triangle collinear Points are collinear if they lie on the same straight line. compl angles Complementary angles are two angles whose sum is 90 degrees. conclusion the statement that follows the word then concurrent lines 3 or more lines that inter sect at a common point condition stat a if then state congruent having the same measure congruent tri Triangles that have the same size and shape. conjecture an educated guess based on known info CIA the 2 middle top bottom # contrapt formed statement from the converse of a state converese The statement formed by hypo and conlu of the converse of a conditional state convex poly a polygon where no line contains both sides of the poly gon coplaner Set of points, lines, rays, line segments, etc., that lie in the same plane corresponding angles Angles that have the same relative positions in geometric figures. counter example to show that a state isnt always true condition stat a if then state hypothesis follows the word if the condition stat congruent having the same measure if-then statement a compound statement it goes if A then B congruent tri Triangles that have the same size and shape. disjunction a compound statement frmed by joining 2 or more statements conjecture an educated guess based on known info incenter The center of a circle inscribed in a given triangle. CIA the 2 middle top bottom # contrapt formed statement from the converse of a state converese The statement formed by hypo and conlu of the converse of a conditional state convex poly a polygon where no line contains both sides of the poly gon coplaner Set of points, lines, rays, line segments, etc., that lie in the same plane corresponding angles Angles that have the same relative positions in geometric figures. counter example to show that a state isnt always true hypothesis follows the word if the condition stat if-then statement a compound statement it goes if A then B disjunction a compound statement frmed by joining 2 or more statements incenter The center of a circle inscribed in a given triangle. condition stat a if then state congruent having the same measure congruent tri Triangles that have the same size and shape. conjecture an educated guess based on known info CIA the 2 middle top bottom # contrapt formed statement from the converse of a state converese The statement formed by hypo and conlu of the converse of a conditional state convex poly a polygon where no line contains both sides of the poly gon coplaner Set of points, lines, rays, line segments, etc., that lie in the same plane corresponding angles Angles that have the same relative positions in geometric figures. counter example to show that a state isnt always true hypothesis follows the word if the condition stat if-then statement a compound statement it goes if A then B disjunction a compound statement frmed by joining 2 or more statements incenter The center of a circle inscribed in a given triangle. included angle an angle formed by 2 sides included side the side of the tri the is part of the 2 angles indirect proof when you use the assume inductive reasoning arrived by deductive reasoning inverse negating both the hypothesis and conclusion isoscelese tri A triangle with at least two sides having equal lengths. law of detachment if p then q is true p is true, then so is q line One of the basic undefined terms of geometry. A line has no thickness but its length goes on forever in two directions., at least 2 pnts line seg The part of a line between two points on the line. Sometimes referred to as a segment. linear pair Two adjacent angles that form a straight line