# Study sets matching "geometry theorems"

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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…

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

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

SSS

SAS

AAS

ASA

How can you prove these triangles are congruent?

How can you prove these triangles are congruent?

How can you prove these triangles are congruent?

How can you prove these triangles are congruent?

SSS

How can you prove these triangles are congruent?

SAS

How can you prove these triangles are congruent?

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

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

Linear Pair Theorem

Congruent Supplements Theorem

Right angle congruence theorem

Congruent complements Theorem

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

If 2 angles are supplementary to the same angle (or to two con…

All right angles are congruent

If 2 angles are complementary to the same angle (or to two con…

Linear Pair Theorem

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

Congruent Supplements Theorem

If 2 angles are supplementary to the same angle (or to two con…

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…

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…

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

Radius Tangent Theorem

Two- Tangent Theorem

Inscribed Angle Theorem

Inscribed Angles Congruence Theorem

If AB is tangent to circle O, then OA is perp. to AB

If AB and AC are tangent to circle D at B and C, then AB congr…

The measure of the inscribed angle is half the measure of its…

If two inscribed angles intercept the same arc, then the angle…

Radius Tangent Theorem

If AB is tangent to circle O, then OA is perp. to AB

Two- Tangent Theorem

If AB and AC are tangent to circle D at B and C, then AB congr…

If two lines intersect,...

Through a line and a point not on the l…

If two lines intersect, then exactly on…

Midpoint Theorem

then they intersect at exactly one point.

there is exactly one plane.

contains the lines.

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

If two lines intersect,...

then they intersect at exactly one point.

Through a line and a point not on the l…

there is exactly one plane.

Congruent Supplements

Congruent Complements

Side Proportionality

Sum of Two Sides

Supplements of the same angle, or congruent angles, are congru…

Complements of the same angle, or congruent angles, are congru…

If two triangles are similar, the corresponding sides are in p…

The sum of the lengths of any two sides of a triangle must be…

Congruent Supplements

Supplements of the same angle, or congruent angles, are congru…

Congruent Complements

Complements of the same angle, or congruent angles, are congru…

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