# Study sets matching "geo 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

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

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

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…

Ruler Postulate- Postulate 1

Segment Addition Postulate- Postulate 2

Protractor Postulate- Postulate 3

Angle Addition Postulate- Postulate 4

The points on a line can be paired with the real numbers in su…

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

On line AB in a given plane, choose any point O between A and…

If point B lies in the interior of <AOC, then m<AOB + m<BOC =…

Ruler Postulate- Postulate 1

The points on a line can be paired with the real numbers in su…

Segment Addition Postulate- Postulate 2

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

If 2 tangent segments are drawn to a ci…

The measure of an angle formed by 2 int…

The measure of an angle whose vertex is…

The measure of an angle formed by a tan…

then those segments are congruent.

is equal to half the sum of the measures of the intercepted ar…

is half of the difference of the two intercepted arcs.

is half the measure of the intercepted arc.

If 2 tangent segments are drawn to a ci…

then those segments are congruent.

The measure of an angle formed by 2 int…

is equal to half the sum of the measures of the intercepted ar…

The "Undefined Terms of Geometry"...

point

line

plane

point, line, plane

a location in space represented by a dot and usually assigned…

a straight path that extends without end in opposite directions

a flat surface that extends forever

The "Undefined Terms of Geometry"...

point, line, plane

point

a location in space represented by a dot and usually assigned…

Reflexive Property of Equality

Symmetric Property of Equality

Transitive Property of Equality

Addition Property of Equality

a = a

If a = b... Then b = a

If a = b, and b = c ... Then a = c

If a = b ... Then a + 3 = b + 3

Reflexive Property of Equality

a = a

Symmetric Property of Equality

If a = b... Then b = a

Right Angle Congruence Theorem

Vertical Angles Theorem

Congruent Supplements Theorem

Congruent Complements Theorem

If 2 angles are right angles, then they are congruent

If 2 angles are vertical angles, then they are congruent

If 2 angles are supplementary to the same angle or congruent a…

If 2 angles are complementary to the same angle or congruent a…

Right Angle Congruence Theorem

If 2 angles are right angles, then they are congruent

Vertical Angles Theorem

If 2 angles are vertical angles, then they are congruent

Complementary angles

Supplementary angles

Theorem

Vertical Angles

two angles whose measures have a sum of 90°

two angles who measures have a sum of 180°

a statement that can be proven

two angles formed by intersecting lines and facing in the oppo…

Complementary angles

two angles whose measures have a sum of 90°

Supplementary angles

two angles who measures have a sum of 180°

Segment Addition Postulate

Angle Addition Postulate

Definition of Midpoint & Bisector

Definition of Angle Bisector

If B is between A and C then the length of AC is equal to the…

If P is in the interior of ∠RST then the measure of ∠RST is th…

A bisector bisects a line segment at its midpoint which divide…

A ray that divides an angle into two adjacent angles that are…

Segment Addition Postulate

If B is between A and C then the length of AC is equal to the…

Angle Addition Postulate

If P is in the interior of ∠RST then the measure of ∠RST is th…

____ sides of a parallelogram are congr…

opposite angles of a parallelogram are…

diagonals of a parallelogram

If three or more parallel lines cut off…

opposite

congruent

bisect each other

they cut off congruent segments on every transversal

____ sides of a parallelogram are congr…

opposite

opposite angles of a parallelogram are…

congruent

they are congruent.... Right Angles Congr…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Suppleme…

they are congruent.... Congruent Compleme…

If two angles are right angles, then

If two angles are supplementary to the same angle, then

If two angles are supplementary to congruent angles, then

If two angles are complementary to the same angle, then

they are congruent.... Right Angles Congr…

If two angles are right angles, then

they are congruent.... Congruent Suppleme…

If two angles are supplementary to the same angle, then

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

midpoint

Triangle Midsegment Theorem

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

a segment connecting the midpoint of two sides of a triangle

If a segment joins the midpoints of two sides of a... triangle, t…

If a point is on the perpendicular bisector of a... segment, then…

If a point is equidistant from the... endpoints of a segment, the…

midpoint

a segment connecting the midpoint of two sides of a triangle

Triangle Midsegment Theorem

If a segment joins the midpoints of two sides of a... triangle, t…

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…

Perpendicular Bisector Theorem

Converse of the Perpendicular Bisector…

Angle Bisector Theorem

Converse of the Angle Bisector Theorem

If a point is on the perpendicular bisector of a segment, then…

If a point is equidistant from the endpoints of a segment, the…

If a point is on the bisector of an angle, then it is equidist…

If a point in the interior of an angle is equidistant from the…

Perpendicular Bisector Theorem

If a point is on the perpendicular bisector of a segment, then…

Converse of the Perpendicular Bisector…

If a point is equidistant from the endpoints of a segment, the…

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