# Study sets matching "geometry pre ap honors"

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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

inductive reasoning

conjecture

counterexample

point

a type of reasoning that reaches conclusions based on a patter…

a conclusion reached by using inductive reasoning

an example for which the conjecture is false

a location; no size

inductive reasoning

a type of reasoning that reaches conclusions based on a patter…

conjecture

a conclusion reached by using inductive reasoning

statement

truth value

negation

compound statement

a sentence that is either true or false

true (T) or false (F)

the opposite meaning and opposite truth value of a statement (…

two or more statements joined by the word AND or OR

statement

a sentence that is either true or false

truth value

true (T) or false (F)

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,…

Parallel Slope of a line

Perpendicular Slope of a line

Vertical Angles

Conditional Statement

Same Slope

Opposite Reciprocal (opposite sign and flip ratio)

Opposite angles that are congruent

p -> q (logically equivalent to contrapositive)

Parallel Slope of a line

Same Slope

Perpendicular Slope of a line

Opposite Reciprocal (opposite sign and flip ratio)

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

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…

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…

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…

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…

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

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.

Biconditional Statement

Conclusion

Conditional Statement

Conjecture

A statement that can be written in the form "p if and only if…

The part of a conditional statement following the word then.

A statement that can be written in the form "if p, then q," wh…

A statement that is believed to be true.

Biconditional Statement

A statement that can be written in the form "p if and only if…

Conclusion

The part of a conditional statement following the word then.

Converse

Addition property

Subtraction property

Multiplication property

Swap hypothesis and conclusion q -> p

if a = b then a + c = b + c

if a = b then a - c = b - c

if a = b then ac = bc

Converse

Swap hypothesis and conclusion q -> p

Addition property

if a = b then a + c = b + c

perpendicular bisector

locus

Perpendicular Bisector Theorm

Converse of the Perpendicular Bisector…

A line that is perpendicular to a segment at its midpoint.

a set of points that satisfys a particular condition. The perp…

if a point is on the perpedicular bisector of a segment then i…

if a point is equidistant from the endpoints of a segment then…

perpendicular bisector

A line that is perpendicular to a segment at its midpoint.

locus

a set of points that satisfys a particular condition. The perp…

wave

crests

troughs

wavelength

periodic back-and-forth motion that transmits energy

high points of a series of waves

low points of a series of waves

distance between any two corresponding points on successive wa…

wave

periodic back-and-forth motion that transmits energy

crests

high points of a series of waves

chemical thermodynamics

energy

law of conservation of energy

kinetic energy

area of chemistry that deals with applying thermodynamic princ…

the ability to do work

energy cannot be created or destroyed; it can only change forms

energy associated with motion

chemical thermodynamics

area of chemistry that deals with applying thermodynamic princ…

energy

the ability to do work