# Study sets matching "geometry theorems"

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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.

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

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.

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…

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…

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

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…

Theorem

Postulate

Corollary

Geometric Means Corollary a

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

Through any two points there is exactly one line. If two lines…

The acute angles of a right triangle are complementary. If a t…

The length of the altitude to the hypotenuse of a right triang…

Theorem

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

Postulate

Through any two points there is exactly one line. If two lines…

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 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…

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

Complement Theorem

Supplement Theorem

Congruent Supplements Theorem

Congruent complements theorem

If the noncommon sides of two adjacent angles form a right ang…

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

Angles are supplementary to the same angle or to congruent ang…

Angles complementary to the same angle or to congruent angles…

Complement Theorem

If the noncommon sides of two adjacent angles form a right ang…

Supplement Theorem

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

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…

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…

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

Jeff Corresponding angles Postulate

Alternate interior angles theorem

Alternate exterior angles theorem

Consecutive interior angles theorem

When two parallel lines are cut by a traversal, the resulting…

When two parallel lines are cut by a transversal.

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

When two lines are cut by a transversal, the pair of angles on…

Jeff Corresponding angles Postulate

When two parallel lines are cut by a traversal, the resulting…

Alternate interior angles theorem

When two parallel lines are cut by a transversal.

Corresponding Angles

Alternate INterior

Alternate EXterior

Consecutive Interior

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

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

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

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

Corresponding Angles

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

Alternate INterior

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

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.

Corresponding Ratios of Triangles Theor…

Angle-Angle Similarity Theorem

Side-Side-Side Similarity Theorem

Side-Angle-Side Similarity Theorem

if the ratio of corresponding sides are the same in the triang…

if 2 angles in one triangle are congruent to 2 angles from ano…

If the corresponding sides of the triangles are proportional,…

if the corresponding sides and angle of the triangles are prop…

Corresponding Ratios of Triangles Theor…

if the ratio of corresponding sides are the same in the triang…

Angle-Angle Similarity Theorem

if 2 angles in one triangle are congruent to 2 angles from ano…