#### Study sets matching "geometry theorems"

#### Study sets matching "geometry theorems"

vertical angles theorem

congruent supplements theorem

congruent compliments theorem

right angle congruence theorem

vertical angles are congruent

if 2 angles are supplements of the same angle or congruent ang…

if 2 angles are complementary to the same angle or congruent a…

all right angles are congruent

vertical angles theorem

vertical angles are congruent

congruent supplements theorem

if 2 angles are supplements of the same angle or congruent ang…

Theorme 1.1

Theorme 1.2

Jordan Curve Theorem

Theorem 4.3

If 2 distinct lines intersect, they intersect at one anc only…

A line and a point not on that line are contained in one and o…

A simple closed curved divides a plane into 3 disjoint sets, t…

Angles that form a linear pair are supplementary.

Theorme 1.1

If 2 distinct lines intersect, they intersect at one anc only…

Theorme 1.2

A line and a point not on that line are contained in one and o…

Axiom/Postulate

Theorem

Theorem 2.1 ... The Vertical Angle Theorem

Theorem 2.2 ... Congruent Supplements Theo…

An accepted statement of fact

A conjecture or statement that you prove true

angle 1 and angle 3 are vertical angles... angle 1 is congruent t…

If two angles are supplements of the same angle (or of congrue…

Axiom/Postulate

An accepted statement of fact

Theorem

A conjecture or statement that you prove true

Theorem 1... Two triangles are congruent i…

Theorem 2... Two triangles are congruent i…

Theorem 3... In any isosceles triangle the…

Theorem 4... Two triangles are congruent i…

S.A.S.

A.S.A.

equal

three other sides... (S.S.S.)

Theorem 1... Two triangles are congruent i…

S.A.S.

Theorem 2... Two triangles are congruent i…

A.S.A.

Theorem Definition

Overlapping Segments Theorum

Vertical Angles Theorum

Theorem

A statement that can be proved deductively

Given a segment with points A,B,C and D arranged as shown, the…

If two angles form a pair of vertical angles then they are con…

Reflection across two parallel lines is equivalent to a transl…

Theorem Definition

A statement that can be proved deductively

Overlapping Segments Theorum

Given a segment with points A,B,C and D arranged as shown, the…

theorem

theorem 1

theorem 2

theorem 3

statement that is proved true

if two lines intersect, then they intersect in exactly one poi…

through a line and a point not in the line there is exactly on…

if two lines intersect, then exactly one plane contains the li…

theorem

statement that is proved true

theorem 1

if two lines intersect, then they intersect in exactly one poi…

Verticle angles theorem

Vertical angles

Supplementry angles

Complementary angles

Vertical angles are congruent

2 nonadjacent angles formed by intersecting lines

2 angles whose measures add up to 180

2 angles whose measures add up to 90

Verticle angles theorem

Vertical angles are congruent

Vertical angles

2 nonadjacent angles formed by intersecting lines

6-1: Exterior angle inequity theorem

6-2

6-3

6-4: Triangle inequality

the measure of an exterior angle of a triangle is greater then…

if one side of a triangle is longer then a second side, then t…

if one angle of a triangle is larger then a second angle, then…

The sum of the lengths of any two sides of a triangle is great…

6-1: Exterior angle inequity theorem

the measure of an exterior angle of a triangle is greater then…

6-2

if one side of a triangle is longer then a second side, then t…

Vertical Angles Theorem (2-1)

Congruent Supplements Theorem (2-2)

Congruent Complements Theorem (2-3)

Theorem 2-4

Vertical Angles are congruent.

If two angles are supplements of the same angle (or of congrue…

If two angles are complements of the same angle (or of congrue…

All right angles are congruent.

Vertical Angles Theorem (2-1)

Vertical Angles are congruent.

Congruent Supplements Theorem (2-2)

If two angles are supplements of the same angle (or of congrue…

If two lines intersect

through a line and a point not on a line

If two lines intersect, then

midpoint theorem

then they intersect in exactly one point

there is exactly one plane

exactly one plane contains the lines

if M is the midpoint of segment AB, then AM = 1/2AB and MB = 1…

If two lines intersect

then they intersect in exactly one point

through a line and a point not on a line

there is exactly one plane

theorem 4-1

theorem 4-2

theorem 4-3

theorem 5-1

if two lines intersect then they intersect at exactly one point

if there is a line and a point not on the line then exactly on…

if two lines intersect then there exists exactly one plane tha…

if two parallel planes are cut by a third plane then the lines…

theorem 4-1

if two lines intersect then they intersect at exactly one point

theorem 4-2

if there is a line and a point not on the line then exactly on…

Theorem 4-1

Theorem 4-2

Theorem 4-3

Theorem 5-1

if 2 lines intersect, then they intersect at exactly 1 point.

if there is a line and a point not on a line, then exactly 1 p…

if 2 lines intercept, then there exists exactly 1 plane that c…

if 2 parallel planes are cut by a third plane, then the lines…

Theorem 4-1

if 2 lines intersect, then they intersect at exactly 1 point.

Theorem 4-2

if there is a line and a point not on a line, then exactly 1 p…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 2-1

If two lines intersect, then they intersect in exactly one poi…

Through a line and a point not in the line there is exactly on…

If two lines intersect, then exactly one plane contains the li…

If M is the midpoint of line AB, the AM=1/2AB and MB=1/2AB

Theorem 1-1

If two lines intersect, then they intersect in exactly one poi…

Theorem 1-2

Through a line and a point not in the line there is exactly on…

Reflexive Property of Segment Congruence

Symmetric Property of Segment Congruence

Transitive Property of Segment Congruen…

Reflexive Property of Angle Congruence

For any segment AB, segment AB is congruent to segment AB.

If segment AB is congruent to segment CD, then segment CD is c…

If segment AB is congruent to segment CD and segment CD is con…

For any angle A, angle A is congruent to angle A.

Reflexive Property of Segment Congruence

For any segment AB, segment AB is congruent to segment AB.

Symmetric Property of Segment Congruence

If segment AB is congruent to segment CD, then segment CD is c…

Thm 1-1

Thm 1-2

Thm 1-3

Thm 2-1 (Midpoint Thm)

If 2 lines intersect, then they intersect in exactly one point.

Through a line and a point not in the line there is exactly on…

If 2 lines intersect, then exactly one plane contains the line…

If M is the midpoint of segment AB, then AM= 1/2AB and MB= 1/2…

Thm 1-1

If 2 lines intersect, then they intersect in exactly one point.

Thm 1-2

Through a line and a point not in the line there is exactly on…

define kite

diagonal theorem of kite

angle theorem of kite

triangle midsegment theorem

a quadrilateral with TWO distinct paits of ADJACENT sides that…

the DIAGONALS are PERPENDICULAR

exactly ONE PAIR of OPPOSITE angles are CONGRUENT; in BETWEEN…

the midsegment is PARALLEL to the third side and is HALF THE L…

define kite

a quadrilateral with TWO distinct paits of ADJACENT sides that…

diagonal theorem of kite

the DIAGONALS are PERPENDICULAR

Perpendicular Segements

Complementary Angles

Supplementary Angles

Congruent Supplementary Angles

If segments, rays or lines meet to form a right angle, then th…

If two angles sum to 90 degrees, then they are complementary a…

If two angles sum to 180 degrees, then they are supplementary…

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

Perpendicular Segements

If segments, rays or lines meet to form a right angle, then th…

Complementary Angles

If two angles sum to 90 degrees, then they are complementary a…

Theorem 3.8

Theorem 3.9

Theorem 3.10

Perpendicular Transversal Theorem

If two lines intersect to form a linear pair of congruent angl…

If two lines are perpendicular, then they intersect to form fo…

If two sides of two adjacent acute angles are perpendicular, t…

If a transversal is perpendicular to one of two parallel lines…

Theorem 3.8

If two lines intersect to form a linear pair of congruent angl…

Theorem 3.9

If two lines are perpendicular, then they intersect to form fo…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

The points on a line can be matched to real numbers.

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

An angle can be measured in degrees matched to a protractor.

If P is in the interior of angle RST, the sum of the measures…

Ruler Postulate

The points on a line can be matched to real numbers.

Segment Addition Postulate

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

Complement Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Theorem

If the non-common sides of 2 adjacent angles form a right angl…

Angles supplementary to the same angle or to congruent angles…

Angles complementary to the same angle or to congruent angles…

If 2 angles are vertical angles, then they are congruent.

Complement Theorem

If the non-common sides of 2 adjacent angles form a right angl…

Congruent Supplements Theorem

Angles supplementary to the same angle or to congruent angles…

Theorem 2.1 (Congruent Supplements Thm.)

Theorem 2.2 (Congruent Complements Thm.)

Theorem 2.3 (Vertical Angles Thm.)

Theorem 3.1 (Transitivity of Parallel L…

If two angles are supplementary to the same angle or to congru…

If two angles are complementary to the same angle or to congru…

If two angles are vertical angles, then they are congruent.

If two lines are parallel to the same line, then they are para…

Theorem 2.1 (Congruent Supplements Thm.)

If two angles are supplementary to the same angle or to congru…

Theorem 2.2 (Congruent Complements Thm.)

If two angles are complementary to the same angle or to congru…

If the sum of two angles is 90*....

If the sum of two angles is a right ang…

If the sum of two angles is 180*

If the sum of two angles is a straight…

then they are complementary (equal 90*)

Then they are complementary

then they are supplementary (add up to 180)

then they are supplementary

If the sum of two angles is 90*....

then they are complementary (equal 90*)

If the sum of two angles is a right ang…

Then they are complementary

Reflexive

Substitution

Transitive

Multiply

Any segment or angle is congruent to itself

If two segments or angles are congruent then one can replace t…

If segments are congruent to the same segment then they are co…

If segments are congruent then there like multiples are congru…

Reflexive

Any segment or angle is congruent to itself

Substitution

If two segments or angles are congruent then one can replace t…