# Study sets matching "geometry theorems"

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ReflexiveProperty

SymmetricProperty

TransitiveProperty

Add/Subtract Property

For every number a, a = a.

For all numbers a & b, if a = b, then b = a.(ex. the segment G…

For all numbers a, b & c, if a = b & b = c, then a = c. (A bit…

For all numbers a, b, & c, if a = b, then a + c = b + c and a…

ReflexiveProperty

For every number a, a = a.

SymmetricProperty

For all numbers a & b, if a = b, then b = a.(ex. the segment G…

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…

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…

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…

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…

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

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

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

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

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

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…

Therom 1.1

Theorem 1.2

Theorem 1.3

Theorem 2.1

Congruence of segments is reflexive, symetric, and transitive.

If two segments are congruent to the same segment, then they a…

If two angles are congruent to the same angle, then they are c…

The sum of the measures of the angles in a linear pair is 180.

Therom 1.1

Congruence of segments is reflexive, symetric, and transitive.

Theorem 1.2

If two segments are congruent to the same segment, then they a…

Adjacent angles sum theorem

Linear pair theorem

Vertical angle theorem

Midpoint theorem

If each of two adjacent angles is congruent to another angle i…

Angles that form a linear pair are supplementary

Vertical angles are congruent

If M is the midpoint of segment A.B. then AM equals one half AB

Adjacent angles sum theorem

If each of two adjacent angles is congruent to another angle i…

Linear pair theorem

Angles that form a linear pair are supplementary

Theorem

Linear Pair Postulate

Segment Addition Postulate

Angle Addition Postulate

a statement that can be proven

if two angles form a linear pair, then the angles are suppleme…

If point B is on AC and between points A and C, then AB+BC=AC

If point D lies on the interior of <ABC, then m<ABD+m<DBC=m<ABC

Theorem

a statement that can be proven

Linear Pair Postulate

if two angles form a linear pair, then the angles are suppleme…

Vertical Angles Theorem

Congruent Supplements Theorem

Right Angle Congruence Theorem

Right Angle Supplements Theorem

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

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

All right angles are congruent

If two angles are congruent and supplementary, then each is a…

Vertical Angles Theorem

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

Congruent Supplements Theorem

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

Chapter 2

Vertical Angles Theorem 2-1

Congruent Supplements 2-2

Congruent Complements 2-3

...

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 congru…

Chapter 2

...

Vertical Angles Theorem 2-1

vertical Angles are congruent

If two angles are right angles, then...

If two angles are straight angles, then…

If a condition statement is true, then.…

If angles are supplementary to the same…

they are congruent

they are congruent

the contrapositive of the statement is true

they are congruent

If two angles are right angles, then...

they are congruent

If two angles are straight angles, then…

they are congruent

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…

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

If two parallel lines are cut by a tran…

then alternate interior angles are congruent

then alternate interior angles are congruent

then alternate exterior angles are congruent

the interior angles on the same side of the transversal are su…

If two parallel lines are cut by a tran…

then alternate interior angles are congruent

If two parallel lines are cut by a tran…

then alternate interior angles are congruent