#### Study sets matching "geo geometry theorems"

#### Study sets matching "geo geometry theorems"

Linear Pair Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

Two Perps Theorem

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

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

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

If two lines are perpendicular to the same line, then the 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 are congruent.

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diffe…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

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.

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.

Complementary Angles

Supplementary angles

theorem

Vertical angles

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

4 angles formed by intersecting lines and facing in four diffe…

Complementary Angles

Two angles whose measures equal 90 degrees

Supplementary angles

two angles whose measures equal 180 degrees

Corresponding Angles Theorem

Alternate Interior Angles Theorem

Alternate Exterior Angles Theorem

Same-Side Interior Angles Theorem

If two lines are parallel and intersected by a transversal, th…

If two lines are parallel and intersected by a transversal, th…

If two lines are parallel and intersected by a transversal, th…

If two lines are parallel and intersected by a transversal, th…

Corresponding Angles Theorem

If two lines are parallel and intersected by a transversal, th…

Alternate Interior Angles Theorem

If two lines are parallel and intersected by a transversal, th…

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…

Theorem 1-1

Theorem 1-2

Theorem 1-3

Midpoint Theorem

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

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

If two lines intersect, then exactly one plane contains the li…

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

Theorem 1-1

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

Theorem 1-2

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

Congruent Supplements Theorem

Congruent Complements Theorem

Vertical Angles Congruence Theorem

Congruence of Segments Theorem

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

If two angles are complementary to the same angle, then the tw…

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

Segment congruence is reflexive, symmetric, and transitive.

Congruent Supplements Theorem

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

Congruent Complements Theorem

If two angles are complementary to the same angle, then the tw…

congruent supplements theorem

congruent complements theorem

VAT

3.1

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

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

vertical angles are congruent

if two lines intersect to form a linear pair of congruent angl…

congruent supplements theorem

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

congruent complements theorem

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

Corresponding Angles Postulate

Converse

Converse of Corresponding Angles Postul…

Vertical Angle Theorem

If lines a parallel than corresponding angles are congruent

A converse swapd the hypothesis and conclusion

If- Corresponding angles are congruent... Then- The lines are par…

If two angles are vertical then they are congruent

Corresponding Angles Postulate

If lines a parallel than corresponding angles are congruent

Converse

A converse swapd the hypothesis and conclusion

Corresponding Angles Postulate

Corresponding Angles Converse

Alternate Interior Angles

Alternate Exterior Angles

p: 2 parallel lines are cut by a transversal ... q: pairs of corr…

p: 2 lines are cut by a transversal and corresponding angles a…

p: 2 parallel lines are cut by a transversal ... q: alternate int…

p: 2 parallel lines are cut by a transversal ... q: alternate ext…

Corresponding Angles Postulate

p: 2 parallel lines are cut by a transversal ... q: pairs of corr…

Corresponding Angles Converse

p: 2 lines are cut by a transversal and corresponding angles a…

Theorem 1

Theorem 2

Segment Bisector Colinear

Converse, Inverse, Contrapositive

If two right angles are right angles, then they are congruent

If two angles are straight angles, then they are congruent

If a point(etc.) divides a segment into two congruent segments…

T Given BPS --> AG... F Converse AG --> BPS... F Inverse ~BPS --> ~A…

Theorem 1

If two right angles are right angles, then they are congruent

Theorem 2

If two angles are straight angles, then they are congruent

Theorem 2.1: Congruence of Segments

Theorem

Theorem 2.2: Congruence of Angles

Theorem 2.3: Right Angles Congruence Th…

Segment congruence is reflexive, symmetric, and transitive

a statement that can be proven

Angle congruence is reflexive, symmetric, and transitive

All right angles are congruent

Theorem 2.1: Congruence of Segments

Segment congruence is reflexive, symmetric, and transitive

Theorem

a statement that can be proven

Theorem 2.1 - Congruence of Segments

Theorem 2.2 - Congruence of Angles

Theorem 2.3 - Right Angles Congruence T…

Theorem 2.4 - Congruent Supplements The…

Segment congruence is reflexive, symmetric, transitive.... Refl…

Angle congruence is reflexive, symmetric, and transitive.... Re…

All right angles are congruenet

If two angles are supplements of the same angle (or to congrue…

Theorem 2.1 - Congruence of Segments

Segment congruence is reflexive, symmetric, transitive.... Refl…

Theorem 2.2 - Congruence of Angles

Angle congruence is reflexive, symmetric, and transitive.... Re…

Theorem 2.2 "Congruent Supplements Theo…

Theorem 2.3 "Congruent Complementary Th…

Theorem 2.4 "No Name"

Theorem 2.5 "No Name"

IF angle 1 and angle 3 are supplementary and angle 2 and angle…

IF angle 1 and angle 2 are complementary and angle 2 and angle…

All right angle are congruent

IF two angles are congruent and supplementary... THEN each angle…

Theorem 2.2 "Congruent Supplements Theo…

IF angle 1 and angle 3 are supplementary and angle 2 and angle…

Theorem 2.3 "Congruent Complementary Th…

IF angle 1 and angle 2 are complementary and angle 2 and angle…

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 5.1- Midsegment Theorem

Theorem 5.2- Perpendicular bisector The…

Theorem 5.3- Converse of the Perpendicu…

Theorem 5.4- Concurrency of Perpendicul…

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

In a plane, if a point is equidistant from the endpoints of a…

In a plane, if a point is equidistant from the endpoints of a…

The perpendicular bisectors of a triangle intersect at a point…

Theorem 5.1- Midsegment Theorem

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

Theorem 5.2- Perpendicular bisector The…

In a plane, if a point is equidistant from the endpoints of a…

Linear Pair Theorem

Vertical Angles Theorem

Corresponding Angles Postulate

Two Perps Theorem

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

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

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

If two lines are perpendicular to the same line, then the 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 are congruent.

Linear Pair Theorem

Congruent Supplement Theorem

Congruent Complement Theorem

Reflexive Theorem

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

Supplements of congruent angles are congruent to each other

Complements of congruent angles are congruent to each other

Every object is congruent to itself

Linear Pair Theorem

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

Congruent Supplement Theorem

Supplements of congruent angles are congruent to each other

Definition of perpendicular

definition of complementary

definition of supplementary

Reflexive property

lines meet at right angles

two or more angels add to 90 degrees

two or more angels add to 180 degrees

any segment is congruent to itself

Definition of perpendicular

lines meet at right angles

definition of complementary

two or more angels add to 90 degrees

Linear Pair Theorem

Congruent Supplements Theorem

Reflexive Theorem

Segment and Angle Addition

If they are linear pairs then they are always supplementary.

If there are supplements or congruent angles, then they are co…

Every object is congruent to itself.

If a segment of angle is added to congruent segments the resul…

Linear Pair Theorem

If they are linear pairs then they are always supplementary.

Congruent Supplements Theorem

If there are supplements or congruent angles, then they are co…

Perpendicular conditional

Perpendicular converse

Complementary conditional

Complementary converse

if 2 lines are perpendicular then they form a right angle

if 2 lines intersect at a right angle then they are perpendicu…

if 2 angles are comp. then they form a right angle

if 2 angles from a right angle then they are comp.

Perpendicular conditional

if 2 lines are perpendicular then they form a right angle

Perpendicular converse

if 2 lines intersect at a right angle then they are perpendicu…