#### Study sets matching "geometry pre ap rules"

#### Study sets matching "geometry pre ap rules"

Supplementary Angles

Complementary Angles

Linear Pair

Vertical Angles

Angles that add to 180 degrees.... m<1+m<2=180

Two angles whose sum is 90 degrees.... m<1+m<2=90

A pair of adjacent angles whose noncommon sides are opposite r…

A pair of opposite congruent angles formed by intersecting lin…

Supplementary Angles

Angles that add to 180 degrees.... m<1+m<2=180

Complementary Angles

Two angles whose sum is 90 degrees.... m<1+m<2=90

ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

complementary angles

supplementary angles

axiom/postulate

concave

two or more angles that add up to 90°

two or more angles that add up to 180°

a statement that is regarded as being true

to cave inwards

complementary angles

two or more angles that add up to 90°

supplementary angles

two or more angles that add up to 180°

congruent

postulate

theorem

acute angle

identical in form; coinciding exactly when superimposed.

consists of a set of theorems, each derived from definitions,…

is a statement that has been proved on the basis of previously…

An angle that measures less than ninety degrees but more than…

congruent

identical in form; coinciding exactly when superimposed.

postulate

consists of a set of theorems, each derived from definitions,…

Segment Addition Postulate

Angle Addition Postulate

Linear Pair Theorem

Vertical Angles Theorem

If b is between a and c, then ab + bc = ac.

If s is in the interior of angle PQR, then the measure of angl…

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

Vertical angles are congruent.

Segment Addition Postulate

If b is between a and c, then ab + bc = ac.

Angle Addition Postulate

If s is in the interior of angle PQR, then the measure of angl…

if two lines intersect, then they inter…

through a line and a point not in the l…

if two lines intersect, then exactly on…

if M is the midpoint of line AB, then A…

point

plane

plane

Midpoint Theorem

if two lines intersect, then they inter…

point

through a line and a point not in the l…

plane

Proofs

Given

Prove

Reflexive

A logical statement helping to prove an idea being backed by a…

The information given to help you prove a statement (the "if"…

What you are asked to show using the given(s) the reason (the…

Everything is equal to itself... ex: a=a

Proofs

A logical statement helping to prove an idea being backed by a…

Given

The information given to help you prove a statement (the "if"…

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

An unproven statement that is based on observations.

You find a pattern in specific cases and then write a conjectu…

A specific case for which the conjecture is false.

A logical statement that has two parts, a hypothesis and a con…

Conjecture

An unproven statement that is based on observations.

Inductive Reasoning

You find a pattern in specific cases and then write a conjectu…

Substitution property

Reflexive property

Symmetric property

Transitive property

If a=b, then a can be substituted for b in any equation or exp…

Is used to prove congruence of geometric figures. This propert…

Property of equality for "a" and "b": if a=b then b=a

If a=b and b=c, then a=c (3 terms)

Substitution property

If a=b, then a can be substituted for b in any equation or exp…

Reflexive property

Is used to prove congruence of geometric figures. This propert…

Kite

Trapezoid

Isosceles trapezoid

Parallelograms

-two pairs of consecutive congruent sides... -diagonals are perpe…

-one pair of parallel sides (bases)... -midsegment is parallel to…

-one pair of parallel sides (bases)... -two congruent legs... -base…

-opposite sides are congruent... -opposite angles are congruent... -…

Kite

-two pairs of consecutive congruent sides... -diagonals are perpe…

Trapezoid

-one pair of parallel sides (bases)... -midsegment is parallel to…

Corresponding Angles

Same-Side Interior Angles

Alternate Interior Angles

Alternate Exterior Angles

lie on the same side of the transversal and on the same sides…

lie on the same side of the transversal and between the inters…

nonadjacent angles that lie on opposite sides of the transvers…

lie on opposite sides the transversal and outside the intersec…

Corresponding Angles

lie on the same side of the transversal and on the same sides…

Same-Side Interior Angles

lie on the same side of the transversal and between the inters…

Paralellogram

Rectangle

Square

Rhombus

A four-sided polygon with two pairs of parallel and equal side…

A parallelogram with 4 right angles.

A rectangle with 4 equal sides.

A parallelogram with 4 equal sides.

Paralellogram

A four-sided polygon with two pairs of parallel and equal side…

Rectangle

A parallelogram with 4 right angles.

Point

Plane

Euclidean

Spherical

-An exact position or location on a plane surface... -Labeled wit…

-A flat surface that goes in every direction infinitely... -betwe…

-the study of geometry based on definitions, undefined terms (…

-the geometry of the two-dimensional surface of a sphere... -curv…

Point

-An exact position or location on a plane surface... -Labeled wit…

Plane

-A flat surface that goes in every direction infinitely... -betwe…

undefined term

line

collinear

segment

figures that cannot be defined by using other figures

straight path that has no thickness and extends forever

points that lie on the same line

is a part of a line consisting of two points and all the point…

undefined term

figures that cannot be defined by using other figures

line

straight path that has no thickness and extends forever

altitude

orthocenter

Triangular inequality theorem

median

a segment that extends from a vertice and is perpendicular to…

formed by 3 intersecting alititudes

any two sides of a triangle must add up to be longer than the…

segment that connects a vertice of a triangle with the midpoin…

altitude

a segment that extends from a vertice and is perpendicular to…

orthocenter

formed by 3 intersecting alititudes

Midsegment of a triangle

Triangle Midsegment theorem

Equidistant

Perpendicular Bisector theorem

A segment connecting the midpoints of two sides of the triangl…

If a segment joins the midpoint of two sides of a triangle, th…

A point is equidistant from two objects if it is the same dist…

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

Midsegment of a triangle

A segment connecting the midpoints of two sides of the triangl…

Triangle Midsegment theorem

If a segment joins the midpoint of two sides of a triangle, th…

Angle Sum Theorem

Perpendicular Bisector

Midsegment

Medians

The sum of the measures of the angles of a triangle is 180 deg…

A segment that is perpendicular to the side and cuts the side…

A segment whose endpoints are midpoints of two sides of a tria…

A segment whose endpoints are a vertex of the triangle and the…

Angle Sum Theorem

The sum of the measures of the angles of a triangle is 180 deg…

Perpendicular Bisector

A segment that is perpendicular to the side and cuts the side…

ruler postulate

Segment Addition Postulate (Seg. Add. P…

Protractor Postulate

Angle Addition Postulate

1.)points must be put on a number line... 2.)the distance between…

if B is between A and C, then AB+BC=AC (page 12 in book)

used to find the measure of an angle... 1.) take the absolute val…

m<AOB + m<BOC = m< AOC

ruler postulate

1.)points must be put on a number line... 2.)the distance between…

Segment Addition Postulate (Seg. Add. P…

if B is between A and C, then AB+BC=AC (page 12 in book)

Conjecture

Inductive Reasoning

Counterexample

Conditional Statement

An unproven statement that is based on observations.

You find a pattern in specific cases and then write a conjectu…

A specific case for which the conjecture is false.

A logical statement that has two parts, a hypothesis and a con…

Conjecture

An unproven statement that is based on observations.

Inductive Reasoning

You find a pattern in specific cases and then write a conjectu…

point

line

plane

collinear points

exact location in space

defined by two points and extends infinitely in both directions

a flat surface having no boundaries

points in the same plane that lie on the same line

point

exact location in space

line

defined by two points and extends infinitely in both directions