#### Study sets matching "geometry theorems etc"

#### Study sets matching "geometry theorems etc"

undefined term

point

line

plane

a word without a formal definition

undefined, a location with no size or dimension

undefined, a series of infinite points that extends in two di…

undefined, flat surface that has no thickness and extends in…

undefined term

a word without a formal definition

point

undefined, a location with no size or dimension

Segment Addition Postulate

Angle Addition Postulate

Midpoint

segment bisector

if b is between a and c, then ab+bc=ac

if point B lies in the interior of <AOC, then m<AOB +m<BOC=m<…

m is the midpoint of ab if and only if AM=MB

CD bisects AB if and only if M is the endpoint of AB

Segment Addition Postulate

if b is between a and c, then ab+bc=ac

Angle Addition Postulate

if point B lies in the interior of <AOC, then m<AOB +m<BOC=m<…

Postulate 1 (Ruler Postulate)

Postulate 2 (Segment Addition Postulate)

Postulate 3 (Protractor Postulate)

Postulate 4 (Angle Addition Postulate)

The distance between points a and b is the absolute value of…

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

The measure of angle AOB is equal to the absolute value of th…

If point B is in the interior of angle COA, then the measure…

Postulate 1 (Ruler Postulate)

The distance between points a and b is the absolute value of…

Postulate 2 (Segment Addition Postulate)

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

Bisection point

Midpoint

Trisect

Bisect

A point (or segment, ray, or line) that divides a segment int…

the bisection point of a segment

to divide a segment into 3 congruent segments (or angles)

to divide a segment into 2 congruent segments (or angles)

Bisection point

A point (or segment, ray, or line) that divides a segment int…

Midpoint

the bisection point of a segment

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a = b, then a + c = b + c

If a = b, then a - c = b - c

If a = b, then a * c = b * c

If a = b and c ≠ 0, then a/c = b/c

Addition Property of Equality

If a = b, then a + c = b + c

Subtraction Property of Equality

If a = b, then a - c = b - c

Addition property

Subtraction property

Multiplication property

Division property

If A=B and C=D, then a+c=b+d

If A=B and C=D, then a-c=b-d

If A=B, then CA=CB

If A=B, then C=0, then a/c=b/c

Addition property

If A=B and C=D, then a+c=b+d

Subtraction property

If A=B and C=D, then a-c=b-d

AA Similarity Postulate

SAS Similarity Theorem

SSS Similarity Theorem

Triangle Proportionality Theorem

If two angles of one triangle are congruent to two other tria…

If an angle of one triangle is congruent to an angle of anoth…

If the sides of two triangles are in proportion, then the tri…

If a line parallel to one side of a triangle intersects the o…

AA Similarity Postulate

If two angles of one triangle are congruent to two other tria…

SAS Similarity Theorem

If an angle of one triangle is congruent to an angle of anoth…

isosceles triangle theorem

isosceles triangle converse

1 corollary

2 corollary

if two sides are congruent then the angles opp. the sides are…

if two angles are congruent then the sides opp. those angles…

the acute angles of a right triangle are comp.

the measure of each angle of equiangular triangle is 60 degre…

isosceles triangle theorem

if two sides are congruent then the angles opp. the sides are…

isosceles triangle converse

if two angles are congruent then the sides opp. those angles…

perpendicular lines

skew lines

Parallel planes

transversal

intersect at 90 degree angles

are not coplanar, parallel, and do not intersect

planes that do not intersect

a line that intersects to coplanar lines at two different poi…

perpendicular lines

intersect at 90 degree angles

skew lines

are not coplanar, parallel, and do not intersect

Posulate 5

Poatulate 6

Postulate 7

Postulate 8

Through any two points there exists exactly one line.

A line contains at least two points.

If two lines intersect, then their intersection is exactly on…

Through any three noncollinear points there exists exactly on…

Posulate 5

Through any two points there exists exactly one line.

Poatulate 6

A line contains at least two points.

triangle sum theorem

Exterior Angle Theorem

Corollary to the Triangle Sum Theorem

Third Angles Theorem

The sum of the measures of the interior angles of a triangle…

The measure of an exterior angle of a triangle is equal to th…

The acute angles of a right triangle are complementary.

If two angles of one triangle are congruent of two angles of…

triangle sum theorem

The sum of the measures of the interior angles of a triangle…

Exterior Angle Theorem

The measure of an exterior angle of a triangle is equal to th…

Same-Side Interiors Angle Postulate

Alternate Interior Angles Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

If a transversal intersects two parallel lines, then same-sid…

If a transversal intersects two parallel lines, the alternate…

If a transversal intersects two parallel lines, then correspo…

If a transversal intersects two parallel lines, then alternat…

Same-Side Interiors Angle Postulate

If a transversal intersects two parallel lines, then same-sid…

Alternate Interior Angles Theorem

If a transversal intersects two parallel lines, the alternate…

Linear Pair Theorem

Theorem

Congruent supplements theorem

Right angle congruence theorem

If 2 angles form a linear pair, then they are supplementary

A statement that must be proven

If 2 angles are supplementary to the same angle, then the 2 a…

All right angles are congruent

Linear Pair Theorem

If 2 angles form a linear pair, then they are supplementary

Theorem

A statement that must be proven

Point

Name Points

Line

Name Lines

A location in space that has no dimension

Upper-case print letter is used to __.

A set of infinite points in one dimension;goes infinitely in…

Using a lower-case cursive letter OR using a 2 points and a l…

Point

A location in space that has no dimension

Name Points

Upper-case print letter is used to __.

point, line, plane

collinear points

axioms

theorems

the three undefined terms in geometry

points on the same line

statements that are accepted without proofs

statements that can be proven

point, line, plane

the three undefined terms in geometry

collinear points

points on the same line

point

plane

line

collinear points

a location (undefined term)

a flat surface made up of points; has no depth and extends in…

made up of points and has no thickness or width (undefined te…

points on the same line

point

a location (undefined term)

plane

a flat surface made up of points; has no depth and extends in…

Definition of parallel lines

Definition of skew lines

Definition of parallel planes

If two parallel planes are cut by a th…

Coplanar lines that do not intersect

Noncoplanar lines; neither parallel or intersecting

Non intersecting planes

The lines of intersection are parallel

Definition of parallel lines

Coplanar lines that do not intersect

Definition of skew lines

Noncoplanar lines; neither parallel or intersecting

If a = b and c = d, then a+c = b+d.

If a = b and c = d, then a-c = b-d.

If M is the midpoint of AB, then AM =…

If AD is the bisector of <CAB then m<B…

Addition Property:

Subtraction Property:

Theorum 2-1: Midpoint Theorem

Theorum 2-2: Angle Bisector Theorem.

If a = b and c = d, then a+c = b+d.

Addition Property:

If a = b and c = d, then a-c = b-d.

Subtraction Property:

cpctc

SSS postulate

sas postulate

asa postulate

Corresponding parts of congruent triangles are congruent

If three sides of one triangle are congruent to three sides o…

If two sides and the included angle of one triangle are congr…

If two angles and the included side of one of triangle are co…

cpctc

Corresponding parts of congruent triangles are congruent

SSS postulate

If three sides of one triangle are congruent to three sides o…

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

If a=b and c=d, then a+c=b+d

If a=b and c=d, then a-c=b-d

If a=b, then ca=cb

If a=b and c≠0, then a÷c=b÷c

Addition Property of Equality

If a=b and c=d, then a+c=b+d

Subtraction Property of Equality

If a=b and c=d, then a-c=b-d

Linear Pair Theorem

Theorem

Congruent supplements theorem

Right angle congruence theorem

If 2 angles form a linear pair, then they are supplementary

A statement that must be proven

If 2 angles are supplementary to the same angle, then the 2 a…

All right angles are congruent

Linear Pair Theorem

If 2 angles form a linear pair, then they are supplementary

Theorem

A statement that must be proven

Definition of Midpoint

Definition of Bisector

Angle Addition Postulate

Addition Prop. of =

a point that divides a segment into two congruent segments

a line, segment, or ray that intersects a line segment at its…

if point B lies in the interior of <AOC then <AOB + <BOC=<AOC…

if a=b and c=d then a+c=b+d

Definition of Midpoint

a point that divides a segment into two congruent segments

Definition of Bisector

a line, segment, or ray that intersects a line segment at its…

Linear Pair Theorem

Theorem

Congruent supplements theorem

Right angle congruence theorem

If 2 angles form a linear pair, then they are supplementary

A statement that must be proven

If 2 angles are supplementary to the same angle, then the 2 a…

All right angles are congruent

Linear Pair Theorem

If 2 angles form a linear pair, then they are supplementary

Theorem

A statement that must be proven