# Study sets matching "geometry theorems"

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Right angle congruence theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Linear pair postulate

All right angles are congruent.

If two angles are supplementary to the same angle, or to congr…

If two angles are complementary to the same angle, or to congr…

If two angles form a linear pair, then they are supplementary.

Right angle congruence theorem

All right angles are congruent.

Congruent Supplements Theorem

If two angles are supplementary to the same angle, or to congr…

congruent complement theorem

congruent complement theorem example

congruent supplements theorem

congruent supplements theorem example

2 angles that are complementary to the same angle and have to…

angle 1=25, angle 2=65 If I know angle 3 is complementary to a…

2 angles that are supplementary to the same angle and have to…

angle 1=100, angle 2=80 If I know angle 3 is supplementary to…

congruent complement theorem

2 angles that are complementary to the same angle and have to…

congruent complement theorem example

angle 1=25, angle 2=65 If I know angle 3 is complementary to a…

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Theorem 1

Theorem 1a

Theorem 2

Theorem 2a

If 2 angles are equal then their supplements are equal

If 2 supplements are equal then the angles are equal

If 2 angles are equal then their complements are equal

If 2 complements are equal them the angles are equal

Theorem 1

If 2 angles are equal then their supplements are equal

Theorem 1a

If 2 supplements are equal then the angles are equal

points and intersecting lines theorem

point, line and plane theorem

intersecting line and plane theorem

Midpoint Theorem

if two lines intersect, then they intersect at 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 lin…

If M is the midpoint about AB then AM=1/2AB and MB=1/2AB

points and intersecting lines theorem

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

point, line and plane theorem

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

Theorem 3.1

Theorem 3.2

Theorem 3.3 (Same Side Interior

Theorem 3.4 (Same Side Interior)

If two Parallel Lines by are intersected by a Transversal, The…

If two Parallel Lines are intersected by a Transversal, Then e…

If two Parallel Lines Are intersected by a Transversal, Then e…

If two Parallel Lines Are intersected by a Transversal, Then e…

Theorem 3.1

If two Parallel Lines by are intersected by a Transversal, The…

Theorem 3.2

If two Parallel Lines are intersected by a Transversal, Then e…

Triangle Midsegment Theorem

Perpendicular Bisector Theorem

Converse of Perpendicular Bisector Theo…

Angle Bisector Theorem

If a segment joins the midpoints of two sides of a triangle, t…

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

If a point is on the bisector of an angle, then the point is e…

Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a triangle, t…

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then…

Theorem

Vertical Angles Theorem (2-1)

Congruent Supplements Theorem (2-2)

Congruent Complements Theorem (2-3)

a statement that you prove or that is proven to be true

vertical angles are congruent

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

if 2 angles are complements of the same angle or of congruent…

Theorem

a statement that you prove or that is proven to be true

Vertical Angles Theorem (2-1)

vertical angles are congruent

Theorem 1-1

Theorem 1-2

Theorem 1-3

Midpoint Theorem

If 2 lines intersect, then they intersect in only 1 point.

Through a line and a point not in the line there is only one p…

If 2 lines intersect, then only 1 plane contains the lines.

If M is the midpoint of AB, then AM = 1/2(AB) and MB = 1/2(AB).

Theorem 1-1

If 2 lines intersect, then they intersect in only 1 point.

Theorem 1-2

Through a line and a point not in the line there is only one p…

3.1

3.2 Alternate Interior Angles (AIA) The…

3.3 Consecutive Interior Angles (CIA) T…

Alternate Exterior Angles (AEA) Theorem

If two parallel planes are cut by a third plane, then the line…

If two parallel lines are cut by a transversal, then alternate…

If two parallel lines are cut by a transversal, then the same-…

If two parallel lines are cut by a transversal, then alternate…

3.1

If two parallel planes are cut by a third plane, then the line…

3.2 Alternate Interior Angles (AIA) The…

If two parallel lines are cut by a transversal, then alternate…

Postulate 1-1

Postulate 1-2

Postulate 1-3

Postulate 1-4

Through any two points there is exactly one line

If two lines intersect, they intersect at exactly one pount

If two distinct planes intersect, then they intersect in exact…

Through any three noncollinear points there is exactly one pla…

Postulate 1-1

Through any two points there is exactly one line

Postulate 1-2

If two lines intersect, they intersect at exactly one pount

Congruent complements theorem

Congruent supplements theorem

Right angle congruency theorem

Linear pair postulate THENTHE

If two angles are complementary to the same angle then the ang…

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

All right angles are 90 degrees

If two angles form a linear pair then they are 180 degrees

Congruent complements theorem

If two angles are complementary to the same angle then the ang…

Congruent supplements theorem

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

Congruences of segments

Congruence of angles

Right angles congruence theorem

Congruent supplements theorem

Segement congruence is reflexive, symmetric, transitive

Angle congruence is reflexive, symmetric, transitive

All right angles are congruent

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

Congruences of segments

Segement congruence is reflexive, symmetric, transitive

Congruence of angles

Angle congruence is reflexive, symmetric, transitive

Congruent Radii Theorem

Right Angle Theorem

Midpoint Center point Theorem

Radius x2=diameter

If two segments are radii of the same circle, then they are co…

If two angles are right, then they are congruent

If a point is the center point of a circle, then it is the mid…

If the length of the radius is multiplied by two, then it is t…

Congruent Radii Theorem

If two segments are radii of the same circle, then they are co…

Right Angle Theorem

If two angles are right, then they are congruent

Theorem 2-1 Vertical Angles Theorem

Theorem 2-2 Congruent Supplements Theor…

Theorem 2-3 Congruent Complements Theor…

Theorem 2-4

Vertical angles are congruent.

If two angles are supplements of the same angle, then they are…

If two angles are complements of the same angle, then they are…

All right angles are congruent.

Theorem 2-1 Vertical Angles Theorem

Vertical angles are congruent.

Theorem 2-2 Congruent Supplements Theor…

If two angles are supplements of the same angle, then they are…

Reflexive property of congruence

Symmetric Property of Cong

Transitive Property Of Congruence

MidPoint theorem

AB is CONG to AB

If AB = CD, then CD = AB

If AB = CD, & CD = EF, then AB = EF

If M is the MP of AB, then AB = MB

Reflexive property of congruence

AB is CONG to AB

Symmetric Property of Cong

If AB = CD, then CD = AB

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…

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Theorem 2-4

Vertical angles are congruent

If 2 angles are supplements of the same angle (or congruent an…

If 2 angles are complements of the same angle (of congruent an…

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 an…

theorem 1

theorem 2

theorem 3

postulate

if a quadrilateral has 2 sets of opposite sides congruent, the…

congruence of segments is reflexive, symmetric, and transitive…

perpendicular lines intersect to form 4 right angles if 2 angl…

if 2 parallel lines are cut by a transversal, then the corresp…

theorem 1

if a quadrilateral has 2 sets of opposite sides congruent, the…

theorem 2

congruence of segments is reflexive, symmetric, and transitive…

Protractor Postulate

Angle Addition Postulate

Theorem #3

Theorem #4

guarantees that rays can be paired with the numbers between 0…

allows angle measure to be added; ex: if D is the interior of…

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

If the noncommon sides of two adjacent angles form a right ang…

Protractor Postulate

guarantees that rays can be paired with the numbers between 0…

Angle Addition Postulate

allows angle measure to be added; ex: if D is the interior of…

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linear pair theorem

congruent supplements theorem

right angle congruence theorem

congruent complements theorem

if two angles form a linear pair, then they are supplementary

if two angles are supplementary to the same angle (or two cong…

all right angles are congruent

if two angles are complementary to the same angle ( or two con…

linear pair theorem

if two angles form a linear pair, then they are supplementary

congruent supplements theorem

if two angles are supplementary to the same angle (or two cong…

vertical angles

theorem

theorem 1

theorem 2

opposite angles made by intersecting lines

statement that is proved by deductive reasoning

if two angles are right angles, then they are congruent

if two angles are straight angles, then they are congruent

vertical angles

opposite angles made by intersecting lines

theorem

statement that is proved by deductive reasoning

Perpendicular Transversal Theorem

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

In a plane, if a transversal is perpendicular to one of two pa…

If two parallel lines are cut by a transversal, then the pairs…

If two parallel lines are cut by a transversal, then the pairs…

If two parallel lines are cut by a transversal, then the two p…

Perpendicular Transversal Theorem

In a plane, if a transversal is perpendicular to one of two pa…

Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs…