# 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…

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

Pythagorean Theorem

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

Given segment AB and a point O on segment AB, all rays that ca…

If S is in the interior of angle PQR, then measure angle PQS +…

In a right triangle, the sum of the squares of the lengths of…

Segment Addition Postulate

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

Protractor Postulate

Given segment AB and a point O on segment AB, all rays that ca…

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

Right Angle Congruence Theorem

Vertical angles are conguent.

If two angles are supplements of the same angle or a congruent…

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

All right angles are congruent

Vertical Angles Theorem

Vertical angles are conguent.

Congruent Supplements Theorem

If two angles are supplements of the same angle or a congruent…

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…

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

Segment addition postulate

Angle addition postulate

Through any two points

Through any three points there is at le…

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

If point B lies in the interior of angle AOC, then measurement…

Through any two points there is exactly one line

Through any three points there is at least one plane, and thro…

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 angle AOC, then measurement…

Angle Bisector Theorem

Converse of the Angle Bisector Theorem

Incenter Theorem

Incenter

If a point is on the angle bisector then the point is equidist…

If a point is equidistant from the sides of an angle then the…

The incenter is equidistant from the sides

Point of concurrency of angle bisectors

Angle Bisector Theorem

If a point is on the angle bisector then the point is equidist…

Converse of the Angle Bisector Theorem

If a point is equidistant from the sides of an angle then the…

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…

Midsegment theorem

Perpendicular bisector theorem

Converse of the perpendicular bisector…

Concurrency of perpendicular bisectors…

The segment connecting the midpoints of two sides of a triangl…

In a plane, if a point is on the perpendicular bisector of a s…

The perpendicular bisectors of a triangle intersect at a point…

Midsegment theorem

The segment connecting the midpoints of two sides of a triangl…

Perpendicular bisector theorem

In a plane, if a point is on the perpendicular bisector of a s…

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…

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 3-1... Alternate Interior Angles T…

Theorem 3-2... Corresponding Angles Theorem

Theorem 3-3... Alternate Exterior Angles T…

Theorem 3-4... Converse of the Correspondi…

If a transversal intersects two parallel lines, then alternate…

If a transversal intersects two parallel lines, then correspon…

If a transversal intersects two parallel lines, then alternate…

If two lines and a transversal form corresponding angles that…

Theorem 3-1... Alternate Interior Angles T…

If a transversal intersects two parallel lines, then alternate…

Theorem 3-2... Corresponding Angles Theorem

If a transversal intersects two parallel lines, then correspon…

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

The Pythagorean Theorem

The Triangle Angle Sum Theorem

Two Circle Theorems

(1) The Betweenness of Points Theorem

The square of the hypotenuse of a right triangle is equal to t…

The sum of the angle of a triangle is 180˚

IF the diameter of a circle is d, its circumference is πd. If…

If A - B - C, then AB + BC = AC

The Pythagorean Theorem

The square of the hypotenuse of a right triangle is equal to t…

The Triangle Angle Sum Theorem

The sum of the angle of a triangle is 180˚

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

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…

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…

tangent line to circle theorem

external tangent congruence theorem

congruent circles theorem

congruent central angles theorem

in a plane, a line is tangent to a circle if and only if the l…

tangent segments from a common external point are congruent.

two circles are congruent circles if and only if they have the…

in the same circle, or in congruent circles, two minor arcs ar…

tangent line to circle theorem

in a plane, a line is tangent to a circle if and only if the l…

external tangent congruence theorem

tangent segments from a common external point are congruent.

commutative property of addition

distributive property

addition property of equality

subtraction property of equality

a + b = b +a

a(b + c) = ab + ac

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

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

commutative property of addition

a + b = b +a

distributive property

a(b + c) = ab + ac