# Study sets matching "geometry theorems"

Within a circle or in congruent circles

Diameter & Chord Theorem

Inside parts

Outer whole

Chords equidistant from the center are congruent. Congruent ch…

A diameter that is perpendicular to a chord, bisects the chord…

A•b=c•d

(W+x)x=(y+z)z

Within a circle or in congruent circles

Chords equidistant from the center are congruent. Congruent ch…

Diameter & Chord Theorem

A diameter that is perpendicular to a chord, bisects the chord…

If 2 triangles have 3 pairs of congruen…

If 2 triangles have 2 pairs of congruen…

If a segment/angle is added to congruen…

If a segment/angle is subtracted from c…

Side, Side, Side

Side, Angle, Side

Segment/Angle Addition

Segment/Angle Subtraction

If 2 triangles have 3 pairs of congruen…

Side, Side, Side

If 2 triangles have 2 pairs of congruen…

Side, Angle, Side

Theorem

Theorem

Theorem

Theorem

Vertical angles are congruent.

The angles in a linear pair are supplementary.

Congruence of segments and angles is reflexive, symmetric, and…

All right angles are congruent.

Theorem

Vertical angles are congruent.

Theorem

The angles in a linear pair are supplementary.

Pythagorean Theorem

Linear Pair Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

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

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

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

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

Pythagorean Theorem

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

Linear Pair Theorem

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

Linear Pair Postulate

Vertical Angles

Right Angle Congruence

Congruent Supplements

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

Vertical angles are congruent. <1 is congruent to <3 and <2 is…

All right angles are congruent

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

Linear Pair Postulate

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

Vertical Angles

Vertical angles are congruent. <1 is congruent to <3 and <2 is…

Ruler postulate

Segment addition postulate

Protractor postulate

Angle addition postulate

The points on a line can be put into a one-to-one corresponden…

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

Given AB and a point O on AB, all rays that can be drawn from…

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

Ruler postulate

The points on a line can be put into a one-to-one corresponden…

Segment addition postulate

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

Linear Pair Theorem

Vertical Angles Theorem

Parallel Lines and Slopes Theorem

Transitivity of Parallelism Theorem

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

If two angles are vertical angles, then they have equal measur…

Two nonvertical lines are parallel if and only if they have th…

If line x is parallel to line y and line y is parallel to line…

Linear Pair Theorem

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

Vertical Angles Theorem

If two angles are vertical angles, then they have equal measur…

Properties of Segment Congruence

Properties of Angle Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

Segment congruence is reflexive, symmetric, and transitive.

Angle congruence is reflexive, symmetric, and transitive.

All right angles are congruent.

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

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive.

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive.

Theorem 1-1

Theorem 1-2

Theorem 1-3

Theorem 1-4

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…

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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…

vertical angle theorem

segment bisector

reflexive property of congruence

triangle angle-sum theorem

if two angles are vertical angles, then they are congruent

a line, ray or segment which cuts another line segment into tw…

a quantity is congruent in itself

the sum of the measures of the angle of a triangle are 180 deg…

vertical angle theorem

if two angles are vertical angles, then they are congruent

segment bisector

a line, ray or segment which cuts another line segment into tw…

Linear Pair Theorem

Vertical Angle Theorem

Corresponding Angles Theorem

Alternate Exterior Angles Theorem

If two angles are a linear pair of angles, then their measures…

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

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

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

Linear Pair Theorem

If two angles are a linear pair of angles, then their measures…

Vertical Angle Theorem

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

1-1 Theorem

1-2 Theorem

1-3 Theorem

2-1 Theorem = Midpoint Theorem

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, then AM = 1/2 AB and MB = 1/2…

1-1 Theorem

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

1-2 Theorem

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

Congruent Circles Theorem

Congruent Central Angles Theorem

Similar Circles Theorem

Congruent Corresponding Chords Theorem

Two circles are congruent circles iff they have the same radius

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

All circles are similar

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

Congruent Circles Theorem

Two circles are congruent circles iff they have the same radius

Congruent Central Angles Theorem

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

Complementary Angles

Supplementary Angles

Corresponding angles

Same side interior angles

Two angles whose measures have a sum of 90°

Two angles whose measures have a sum of 180°

Complementary Angles

Two angles whose measures have a sum of 90°

Supplementary Angles

Two angles whose measures have a sum of 180°

triangle sum theorem

third angles theorem

theorem 4.4

interior angles

the sum of the measures of a triangle is 180

if 2 angles of one triangle are congruent to two angles of a s…

the acute angles of a right triangle are complementary

inside the triangle

triangle sum theorem

the sum of the measures of a triangle is 180

third angles theorem

if 2 angles of one triangle are congruent to two angles of a s…

Polygon Interior Angles Theorem

Interior Angles of a Quadrilateral

Polygon Exterior Angles Theorem

Theorem 8.3

The sum of the measures of the interior angles of a convex n-g…

The sum of the measures of the interior angles of a quadrilate…

The sum of the measures of the exterior angles of a convex pol…

If a quadrilateral is a parallelogram, then its opposite sides…

Polygon Interior Angles Theorem

The sum of the measures of the interior angles of a convex n-g…

Interior Angles of a Quadrilateral

The sum of the measures of the interior angles of a quadrilate…

Vertical Angles Theorem

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

angles that are opposite each other are congruent

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

when two parallel lines are cut by a transversal, the resultin…

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

Vertical Angles Theorem

angles that are opposite each other are congruent

Corresponding Angles Theorem

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

Theorem for Linear Pairs

Theorem for congruent supplements

Reflexive theorem

Segment/angle addition

Two linear pair angles are always supplementary.

Supplements of congruent angles are congruent to each other. *…

Every object is congruent to itself when reflected, and all an…

If a segment or angle is added to congruent, overlapping segme…

Theorem for Linear Pairs

Two linear pair angles are always supplementary.

Theorem for congruent supplements

Supplements of congruent angles are congruent to each other. *…

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…

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

If 2 angles are right angels, then they are congruent.

If 2 angles are supplementary to the same angle, then they are…

If 2 angles are complementary to the same angle, then they are…

...

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

...

If 2 angles are right angels, then they are congruent.

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…

Properties of Segment Congruence

Properties of Angle Congruence

Right Angles Congruence Theorem

Congruent Supplements Theorem

Segment congruence is reflexive, symmetric, and transitive.

Angle congruence is reflexive, symmetric, and transitive.

All right angles are congruent.

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

Properties of Segment Congruence

Segment congruence is reflexive, symmetric, and transitive.

Properties of Angle Congruence

Angle congruence is reflexive, symmetric, and transitive.

Congruent Complements Theorems

Reflexive Theorem

Segment Addition Theorem

Segment Subtraction Theorem

Complements of congruent angles are congruent to each other.

Every object is congruent to itself

If a segment is added to congruent segments the results is con…

If a segment is subtracted to congruent segments the results i…

Congruent Complements Theorems

Complements of congruent angles are congruent to each other.

Reflexive Theorem

Every object is congruent to itself