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123 Cards in this Set
 Front
 Back
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


ifthen 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


ifthen 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


ifthen 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
