# Study sets matching "geometry postulates theorems postulates definitions"

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Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

All right angles are congruent.

Supplements of congruent angles are con…

Right

Supplementary (Working with total of 4 angles)

Linear Pairs are Supplementary.

Perpendicular Lines form right angles.

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…

Ruler Postulate

Segment Addition Postulate

Protractor Postulate

Angle Addition Postulate

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

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, the m<AOB a m<BOC = m…

Ruler Postulate

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

Segment Addition Postulate

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

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

Protractor Postulate

Parallel Lines

Skew Lines

AB + BC = AC

Says that you can measure any angle

two lines that don't intersect and are coplanar

two lines that don't intersect and aren't coplanar

Segment Addition Postulate

AB + BC = AC

Protractor Postulate

Says that you can measure any angle

Linear Pair Postulate

Law of Detachment (word definition)

Law of Detachment (symbolic form)

Law of Syllogism (symbolic form)

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

If the hypothesis of a true conditional is true, then the conc…

If p --> q is true and p is true, then q is true.

If p --> q is true and q --> r is true, then p --> r is true.

Linear Pair Postulate

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

Law of Detachment (word definition)

If the hypothesis of a true conditional is true, then the conc…

Complementary... Angles

Supplementary... Angles

Theorem

Vertical Angles

Two angles whose measures... have a sum of 90 degrees

Two angles whose measures... have a sum of 180 degrees

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 degrees

Supplementary... Angles

Two angles whose measures... have a sum of 180 degrees

Segment addition postulate

Angle addition postulate

Postulate 5

Postulate 6

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

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

A line contains at least two points; a plane contains at least…

Through any two points there is exactly one line.

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 <AOC, then m<AOB + m<BOC =…

Postulate 1

Postulate 2

Postulate 3

Postulate 4

Ruler Postulate: The points on a line can be paired with the r…

Segment Addition Postulate: If B is between A and C, then AB +…

Protractor Postulate: On line AB in a given plane, choose any…

Angle Addition Postulate: If point B lies in the interior of <…

Postulate 1

Ruler Postulate: The points on a line can be paired with the r…

Postulate 2

Segment Addition Postulate: If B is between A and C, then AB +…

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°

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°

Parallel Lines

Perpendicular Lines

Skew Lines

Parallel Planes

Are coplanar lines and do not intersect.

Lines that intersect at 90 degree angles.

Lines that are not coplanar, not parallel, and do not intersec…

Are planes that do not intersect.

Parallel Lines

Are coplanar lines and do not intersect.

Perpendicular Lines

Lines that intersect at 90 degree angles.

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Perpendicular Lines

Angle Bisector

Midpoint

Congruent Angles

two lines that intersect to form right angles

The ray that divides the angle into two congruent adjacent ang…

The point that divides the segment into two congruent segments

Angles that have equal measure

Perpendicular Lines

two lines that intersect to form right angles

Angle Bisector

The ray that divides the angle into two congruent adjacent ang…

theorem

postulate

definition

segment bisector

a statement that can be proved

something we don't need to prove, uses past information to bas…

assigns a term to an object. are always reversible

segment,ray,line, plane that divides a segment into two congru…

theorem

a statement that can be proved

postulate

something we don't need to prove, uses past information to bas…

Segment Bisector

Midpoint

Midpoint Theorem

Definition of Congruent Angles

If a segment, line or plane is a ________ _______, then it int…

If M is the midpoint of line PQ, then PM=PQ.

If M is the midpoint of line AB, then line AM is congruent to…

If two angles are _____ ________ , then the angles have the sa…

Segment Bisector

If a segment, line or plane is a ________ _______, then it int…

Midpoint

If M is the midpoint of line PQ, then PM=PQ.

Midpoint

Midpoint Formula

Distance Formula

line segment

The midpoint bisects the segment into two shorter segments of…

(x1+x2/2),(y1+y2/2)

square route (x2-x1)2+(y2-y1)2

segment AB consists of the endpoints A and B and all the point…

Midpoint

The midpoint bisects the segment into two shorter segments of…

Midpoint Formula

(x1+x2/2),(y1+y2/2)

Vertical Angles

Angle Bisector

Segment Bisector

Midpoint

Two angles whose sides form two pairs of opposite rays.

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

Anything that intersects a segment at its midpoint.

The point that divides or bisects a segment into two congruent…

Vertical Angles

Two angles whose sides form two pairs of opposite rays.

Angle Bisector

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

Angle addition postulate

Postulate

Postulate

postulate

M<AOB + M<BOC = M<AOC... Any angles added together

a line contains at least two points a plane contains at least…

through any two points there is exactly one line

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

Angle addition postulate

M<AOB + M<BOC = M<AOC... Any angles added together

Postulate

a line contains at least two points a plane contains at least…

Definition of Congruence

Definition of Midpoint of Segment

Definition of Angle Bisector

Definition of Complementary Angles

AB=CD IFF line segment AB≅line segment CD IFF line segment AB…

P is the midpoint of line segment AB IFF line segment AP≅segme…

Segment AD bisects ∠ABC IFF ∠BAD≅∠DAC IFF m∠BAD=m∠DAC

∠A and ∠B are complementary angles IFF m∠A+m∠B=90

Definition of Congruence

AB=CD IFF line segment AB≅line segment CD IFF line segment AB…

Definition of Midpoint of Segment

P is the midpoint of line segment AB IFF line segment AP≅segme…

Definitions

Complementary Angles

Supplementary angles

theorem

Definitions

Two angles whose measures equal 90 degrees

two angles whose measures equal 180 degrees

a statement that can be proven

Definitions

Definitions

Complementary Angles

Two angles whose measures equal 90 degrees

Definition of Supplementary Angles

Definition of Alternate Interior Angles

Definition of Alternate Exterior angles

Definition of Corresponding Angles

2 angles whose measures have a sum of 180 degrees

2 non-adjacent angles that lie on opposite sides of the transv…

2 angles who are on opposite sides of the transversal and outs…

2 angles who are on the same side of the transversal and the s…

Definition of Supplementary Angles

2 angles whose measures have a sum of 180 degrees

Definition of Alternate Interior Angles

2 non-adjacent angles that lie on opposite sides of the transv…